13002155120031 has 32 divisors (see below), whose sum is σ = 21980310681600. Its totient is φ = 6639885504480.

The previous prime is 13002155120027. The next prime is 13002155120047.

13002155120031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13002155120031 - 2² = 13002155120027 is a prime.

It is a super-2 number, since 2×13002155120031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13002155119983 and 13002155120010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002155120051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476989641 + ... + 477016898.

It is an arithmetic number, because the mean of its divisors is an integer number (686884708800).

Almost surely, 2^{13002155120031} is an apocalyptic number.

13002155120031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13002155120031 is a deficient number, since it is larger than the sum of its proper divisors (8978155561569).

13002155120031 is a wasteful number, since it uses less digits than its factorization.

13002155120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954006619.

The product of its (nonzero) digits is 900, while the sum is 24.

It can be divided in two parts, 1300215 and 5120031, that added together give a palindrome (6420246).

The spelling of 13002155120031 in words is "thirteen trillion, two billion, one hundred fifty-five million, one hundred twenty thousand, thirty-one".