13002204400331 has 16 divisors (see below), whose sum is σ = 13823818649856. Its totient is φ = 12201959099616.

The previous prime is 13002204400319. The next prime is 13002204400411. The reversal of 13002204400331 is 13300440220031.

It is a cyclic number.

It is not a de Polignac number, because 13002204400331 - 2⁴² = 8604157889227 is a prime.

It is a super-2 number, since 2×13002204400331² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 13002204400297 and 13002204400306.

It is not an unprimeable number, because it can be changed into a prime (13002204408331) 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, 72127196 + ... + 72307238.

It is an arithmetic number, because the mean of its divisors is an integer number (863988665616).

Almost surely, 2^{13002204400331} is an apocalyptic number.

13002204400331 is a deficient number, since it is larger than the sum of its proper divisors (821614249525).

13002204400331 is a wasteful number, since it uses less digits than its factorization.

13002204400331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239362.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 13002204400331 its reverse (13300440220031), we get a palindrome (26302644620362).

The spelling of 13002204400331 in words is "thirteen trillion, two billion, two hundred four million, four hundred thousand, three hundred thirty-one".