13013322113313 has 12 divisors (see below), whose sum is σ = 18797247780948. Its totient is φ = 8675443329120.

The previous prime is 13013322113303. The next prime is 13013322113327. The reversal of 13013322113313 is 31331122331031.

13013322113313 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 322 + 1 + 1 + 331 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9376474782609 + 3636847330704 = 3062103^2 + 1907052^2 .

It is not a de Polignac number, because 13013322113313 - 2¹² = 13013322109217 is a prime.

It is a super-2 number, since 2×13013322113313² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13013322113303) 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, 7938270 + ... + 9436247.

It is an arithmetic number, because the mean of its divisors is an integer number (1566437315079).

Almost surely, 2^{13013322113313} is an apocalyptic number.

It is an amenable number.

13013322113313 is a deficient number, since it is larger than the sum of its proper divisors (5783925667635).

13013322113313 is a wasteful number, since it uses less digits than its factorization.

13013322113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17457744 (or 17457741 counting only the distinct ones).

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

Adding to 13013322113313 its reverse (31331122331031), we get a palindrome (44344444444344).

The spelling of 13013322113313 in words is "thirteen trillion, thirteen billion, three hundred twenty-two million, one hundred thirteen thousand, three hundred thirteen".