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13013203403331 = 3229146617340063
BaseRepresentation
bin1011110101011101111101…
…0111011100001001000011
31201002001100112000220122200
42331113133113130021003
53201202020032401311
643402103315204243
72512113211566555
oct275273727341103
951061315026580
1013013203403331
11416796108207a
1215620675a6683
137351a8236501
1432dbb17bb4d5
151787838b6556
hexbd5df5dc243

13013203403331 has 24 divisors (see below), whose sum is σ = 19445206385280. Its totient is φ = 8376233072256.

The previous prime is 13013203403309. The next prime is 13013203403461. The reversal of 13013203403331 is 13330430231031.

13013203403331 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 320 + 3 + 4 + 0 + 3 + 331 = 666.

It is not a de Polignac number, because 13013203403331 - 26 = 13013203403267 is a prime.

It is a super-2 number, since 2×130132034033312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13013203403295 and 13013203403304.

It is not an unprimeable number, because it can be changed into a prime (13013203403131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38097006 + ... + 38437068.

It is an arithmetic number, because the mean of its divisors is an integer number (810216932720).

Almost surely, 213013203403331 is an apocalyptic number.

13013203403331 is a deficient number, since it is larger than the sum of its proper divisors (6432002981949).

13013203403331 is a wasteful number, since it uses less digits than its factorization.

13013203403331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486715 (or 486712 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13013203403331 its reverse (13330430231031), we get a palindrome (26343633634362).

The spelling of 13013203403331 in words is "thirteen trillion, thirteen billion, two hundred three million, four hundred three thousand, three hundred thirty-one".

Divisors: 1 3 9 29 87 261 146617 340063 439851 1020189 1319553 3060567 4251893 9861827 12755679 29585481 38267037 88756443 49859016871 149577050613 448731151839 1445911489259 4337734467777 13013203403331