13120442401313 has 16 divisors (see below), whose sum is σ = 14993603689680. Its totient is φ = 11373812729856.

The previous prime is 13120442401289. The next prime is 13120442401333. The reversal of 13120442401313 is 31310424402131.

It can be written as a sum of positive squares in 8 ways, for example, as 825657543649 + 12294784857664 = 908657^2 + 3506392^2 .

It is a cyclic number.

It is not a de Polignac number, because 13120442401313 - 2⁴² = 8722395890209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13120442401333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64853618 + ... + 65055611.

It is an arithmetic number, because the mean of its divisors is an integer number (937100230605).

Almost surely, 2^{13120442401313} is an apocalyptic number.

13120442401313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13120442401313 is a deficient number, since it is larger than the sum of its proper divisors (1873161288367).

13120442401313 is a wasteful number, since it uses less digits than its factorization.

13120442401313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129909716.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 13120442401313 its reverse (31310424402131), we get a palindrome (44430866803444).

The spelling of 13120442401313 in words is "thirteen trillion, one hundred twenty billion, four hundred forty-two million, four hundred one thousand, three hundred thirteen".