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13030031201031 = 321323107269168227
BaseRepresentation
bin1011110110011100101001…
…1000011001001100000111
31201010122210021111121102100
42331213022120121030013
53201441000441413111
643413525205243143
72513250214530345
oct275471230311407
951118707447370
1013030031201031
114174006a145a9
1215653831034b3
1373695a656060
1433092a672995
15178e1adc5756
hexbd9ca619307

13030031201031 has 96 divisors (see below), whose sum is σ = 21427348400640. Its totient is φ = 7569879305472.

The previous prime is 13030031201027. The next prime is 13030031201041. The reversal of 13030031201031 is 13010213003031.

It is a happy number.

13030031201031 is a `hidden beast` number, since 13 + 0 + 300 + 312 + 0 + 10 + 31 = 666.

13030031201031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13030031201031 - 22 = 13030031201027 is a prime.

It is a super-2 number, since 2×130300312010312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13030031200995 and 13030031201013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13030031201041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77370940 + ... + 77539166.

It is an arithmetic number, because the mean of its divisors is an integer number (223201545840).

Almost surely, 213030031201031 is an apocalyptic number.

13030031201031 is a deficient number, since it is larger than the sum of its proper divisors (8397317199609).

13030031201031 is a wasteful number, since it uses less digits than its factorization.

13030031201031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168645 (or 168642 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13030031201031 its reverse (13010213003031), we get a palindrome (26040244204062).

The spelling of 13030031201031 in words is "thirteen trillion, thirty billion, thirty-one million, two hundred one thousand, thirty-one".

Divisors: 1 3 9 13 23 39 69 107 117 207 269 299 321 807 897 963 1391 2421 2461 2691 3497 4173 6187 7383 10491 12519 18561 22149 28783 31473 31993 55683 80431 86349 95979 168227 241293 259047 287937 374179 504681 662009 723879 1122537 1514043 1986027 2186951 3367611 3869221 5958081 6560853 8606117 11607663 18000289 19682559 25818351 34822989 45253063 50299873 54000867 77455053 135759189 150899619 162002601 234003757 407277567 414006647 452698857 588289819 702011271 1040820449 1242019941 1764869457 2106033813 3122461347 3726059823 4842077741 5294608371 5382086411 9367384041 13530665837 14526233223 16146259233 40591997511 43578699669 48438777699 62947010633 111367788043 121775992533 188841031899 334103364129 566523095697 1002310092387 1447781244559 4343343733677 13030031201031