13002100120031 has 32 divisors (see below), whose sum is σ = 15048869472000. Its totient is φ = 11109657012480.

The previous prime is 13002100119997. The next prime is 13002100120099.

13002100120031 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13002100120031 is a prime.

It is a super-2 number, since 2×13002100120031² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13002100119988 and 13002100120015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002100125031) 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, 13007120 + ... + 13971018.

It is an arithmetic number, because the mean of its divisors is an integer number (470277171000).

Almost surely, 2^{13002100120031} is an apocalyptic number.

13002100120031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13002100120031 is a deficient number, since it is larger than the sum of its proper divisors (2046769351969).

13002100120031 is a wasteful number, since it uses less digits than its factorization.

13002100120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964439.

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 13002100 and 120031, that added together give a palindrome (13122131).

The spelling of 13002100120031 in words is "thirteen trillion, two billion, one hundred million, one hundred twenty thousand, thirty-one".