13031220310002 has 12 divisors (see below), whose sum is σ = 28234310671710. Its totient is φ = 4343740103328.

The previous prime is 13031220309977. The next prime is 13031220310027. The reversal of 13031220310002 is 20001302213031.

13031220310002 is a `hidden beast` number, since 130 + 3 + 1 + 220 + 310 + 0 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13031220309977) and next prime (13031220310027).

It can be written as a sum of positive squares in only one way, i.e., 8382362543361 + 4648857766641 = 2895231^2 + 2156121^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 723956683889 = 13031220310002 / (1 + 3 + 0 + 3 + 1 + 2 + 2 + 0 + 3 + 1 + 0 + 0 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 361978341927 + ... + 361978341962.

Almost surely, 2^{13031220310002} is an apocalyptic number.

13031220310002 is an abundant number, since it is smaller than the sum of its proper divisors (15203090361708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13031220310002 is a wasteful number, since it uses less digits than its factorization.

13031220310002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723956683897 (or 723956683894 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13031220310002 its reverse (20001302213031), we get a palindrome (33032522523033).

The spelling of 13031220310002 in words is "thirteen trillion, thirty-one billion, two hundred twenty million, three hundred ten thousand, two".