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131330300101 = 711213101269439
BaseRepresentation
bin111101001001111100…
…1010101100011000101
3110112222122010111021221
41322103321111203011
54122431024100401
6140155440040341
712326326063210
oct1722371254305
9415878114257
10131330300101
1150773592300
12215523030b1
13c4cc68b260
1464dc036777
153639a3b7a1
hex1e93e558c5

131330300101 has 96 divisors (see below), whose sum is σ = 180503769600. Its totient is φ = 92968128000.

The previous prime is 131330300089. The next prime is 131330300113. The reversal of 131330300101 is 101003033131.

It is an interprime number because it is at equal distance from previous prime (131330300089) and next prime (131330300113).

It is not a de Polignac number, because 131330300101 - 211 = 131330298053 is a prime.

It is a super-2 number, since 2×1313303001012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330300191) 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, 299157640 + ... + 299158078.

It is an arithmetic number, because the mean of its divisors is an integer number (1880247600).

Almost surely, 2131330300101 is an apocalyptic number.

131330300101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131330300101 is a deficient number, since it is larger than the sum of its proper divisors (49173469499).

131330300101 is a wasteful number, since it uses less digits than its factorization.

131330300101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 131330300101 its reverse (101003033131), we get a palindrome (232333333232).

The spelling of 131330300101 in words is "one hundred thirty-one billion, three hundred thirty million, three hundred thousand, one hundred one".

Divisors: 1 7 11 13 77 91 101 121 143 269 439 707 847 1001 1111 1313 1573 1883 2959 3073 3497 4829 5707 7777 9191 11011 12221 14443 20713 24479 27169 32549 33803 38467 39949 44339 53119 62777 85547 101101 118091 158873 190183 227843 269269 298859 310373 353197 371833 423137 439439 487729 576407 690547 826637 1112111 1299001 1535183 2092013 2472379 2961959 3287449 3414103 3885167 4034849 4833829 5365019 6340477 9093007 10746281 11927191 14289011 16887013 23012143 27196169 37555133 42736837 44383339 69745247 83490337 100023077 118209091 131199101 155053483 185757143 299157859 488216729 918393707 1085374381 1300300001 1443190111 1705588313 10102330777 11939118191 18761471443 131330300101