13120014088336 has 45 divisors (see below), whose sum is σ = 27003788542969. Its totient is φ = 6174008367872.

The previous prime is 13120014088333. The next prime is 13120014088411. The reversal of 13120014088336 is 63388041002131.

The square root of 13120014088336 is 3622156.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10214543840400 + 2905470247936 = 3196020^2 + 1704544^2 .

It is a super-2 number, since 2×13120014088336² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13120014088331) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 246279975 + ... + 246333241.

Almost surely, 2^{13120014088336} is an apocalyptic number.

13120014088336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13120014088336 is the 3622156-th square number.

It is an amenable number.

13120014088336 is an abundant number, since it is smaller than the sum of its proper divisors (13883774454633).

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

13120014088336 is an frugal number, since it uses more digits than its factorization.

13120014088336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106576 (or 53286 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 13120014088336 in words is "thirteen trillion, one hundred twenty billion, fourteen million, eighty-eight thousand, three hundred thirty-six".