13100311332313 has 16 divisors (see below), whose sum is σ = 13453825165200. Its totient is φ = 12748421790720.

The previous prime is 13100311332307. The next prime is 13100311332343. The reversal of 13100311332313 is 31323311300131.

It can be written as a sum of positive squares in 8 ways, for example, as 703806900624 + 12396504431689 = 838932^2 + 3520867^2 .

It is a cyclic number.

It is not a de Polignac number, because 13100311332313 - 2⁵ = 13100311332281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13100311332343) 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, 241261995 + ... + 241316287.

It is an arithmetic number, because the mean of its divisors is an integer number (840864072825).

Almost surely, 2^{13100311332313} is an apocalyptic number.

It is an amenable number.

13100311332313 is a deficient number, since it is larger than the sum of its proper divisors (353513832887).

13100311332313 is a wasteful number, since it uses less digits than its factorization.

13100311332313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69132.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 13100311332313 its reverse (31323311300131), we get a palindrome (44423622632444).

The spelling of 13100311332313 in words is "thirteen trillion, one hundred billion, three hundred eleven million, three hundred thirty-two thousand, three hundred thirteen".