13013102111331 has 32 divisors (see below), whose sum is σ = 19961435127808. Its totient is φ = 7386581613600.

The previous prime is 13013102111323. The next prime is 13013102111333. The reversal of 13013102111331 is 13311120131031.

It is not a de Polignac number, because 13013102111331 - 2³ = 13013102111323 is a prime.

It is a super-2 number, since 2×13013102111331² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13013102111298 and 13013102111307.

It is not an unprimeable number, because it can be changed into a prime (13013102111333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187888350 + ... + 187957596.

It is an arithmetic number, because the mean of its divisors is an integer number (623794847744).

Almost surely, 2^{13013102111331} is an apocalyptic number.

13013102111331 is a deficient number, since it is larger than the sum of its proper divisors (6948333016477).

13013102111331 is a wasteful number, since it uses less digits than its factorization.

13013102111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128671.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 13013102111331 its reverse (13311120131031), we get a palindrome (26324222242362).

The spelling of 13013102111331 in words is "thirteen trillion, thirteen billion, one hundred two million, one hundred eleven thousand, three hundred thirty-one".