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13013222231031 = 311990139828307
BaseRepresentation
bin1011110101011110000001…
…1111010000101111110111
31201002001101211110110101220
42331113200133100233313
53201202034342343111
643402105230521423
72512113530614041
oct275274037205767
951061354413356
1013013222231031
114167970771660
121562071966273
137351ac0c9169
1432dbb40bca91
15178785384e06
hexbd5e07d0bf7

13013222231031 has 16 divisors (see below), whose sum is σ = 18930235479168. Its totient is φ = 7886004588000.

The previous prime is 13013222231029. The next prime is 13013222231069.

13013222231031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13013222231031 - 21 = 13013222231029 is a prime.

It is a super-2 number, since 2×130132222310312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13013222230992 and 13013222231010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013222231531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19587421 + ... + 20240886.

It is an arithmetic number, because the mean of its divisors is an integer number (1183139717448).

Almost surely, 213013222231031 is an apocalyptic number.

13013222231031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13013222231031 is a deficient number, since it is larger than the sum of its proper divisors (5917013248137).

13013222231031 is a wasteful number, since it uses less digits than its factorization.

13013222231031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39838222.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1301322 and 2231031, that added together give a palindrome (3532353).

The spelling of 13013222231031 in words is "thirteen trillion, thirteen billion, two hundred twenty-two million, two hundred thirty-one thousand, thirty-one".

Divisors: 1 3 11 33 9901 29703 108911 326733 39828307 119484921 438111377 1314334131 394340067607 1183020202821 4337740743677 13013222231031