13321013313231 has 32 divisors (see below), whose sum is σ = 21371630112000. Its totient is φ = 8151750265824.

The previous prime is 13321013313221. The next prime is 13321013313233. The reversal of 13321013313231 is 13231331012331.

13321013313231 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 0 + 1 + 331 + 323 + 1 = 666.

13321013313231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13321013313231 - 2⁵ = 13321013313199 is a prime.

It is a super-2 number, since 2×13321013313231² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13321013313195 and 13321013313204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321013313233) 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, 105947241 + ... + 106072898.

It is an arithmetic number, because the mean of its divisors is an integer number (667863441000).

Almost surely, 2^{13321013313231} is an apocalyptic number.

13321013313231 is a deficient number, since it is larger than the sum of its proper divisors (8050616798769).

13321013313231 is a wasteful number, since it uses less digits than its factorization.

13321013313231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212020340 (or 212020334 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13321013313231 its reverse (13231331012331), we get a palindrome (26552344325562).

The spelling of 13321013313231 in words is "thirteen trillion, three hundred twenty-one billion, thirteen million, three hundred thirteen thousand, two hundred thirty-one".