13002210020313 has 12 divisors (see below), whose sum is σ = 18807459418020. Its totient is φ = 8655914141856.

The previous prime is 13002210020221. The next prime is 13002210020329. The reversal of 13002210020313 is 31302001220031.

13002210020313 is a `hidden beast` number, since 1 + 300 + 22 + 10 + 0 + 20 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8249687939529 + 4752522080784 = 2872227^2 + 2180028^2 .

It is not a de Polignac number, because 13002210020313 - 2⁸ = 13002210020057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13002210000313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1018815906 + ... + 1018828667.

It is an arithmetic number, because the mean of its divisors is an integer number (1567288284835).

Almost surely, 2^{13002210020313} is an apocalyptic number.

It is an amenable number.

13002210020313 is a deficient number, since it is larger than the sum of its proper divisors (5805249397707).

13002210020313 is a wasteful number, since it uses less digits than its factorization.

13002210020313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037645288 (or 2037645285 counting only the distinct ones).

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

Adding to 13002210020313 its reverse (31302001220031), we get a palindrome (44304211240344).

The spelling of 13002210020313 in words is "thirteen trillion, two billion, two hundred ten million, twenty thousand, three hundred thirteen".