13013753221764 has 81 divisors (see below), whose sum is σ = 34389632251429. Its totient is φ = 4149153893280.

The previous prime is 13013753221751. The next prime is 13013753221793. The reversal of 13013753221764 is 46712235731031.

The square root of 13013753221764 is 3607458.

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

13013753221764 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 37 + 532 + 21 + 7 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9141201527364 + 3872551694400 = 3023442^2 + 1967880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 497816134 + ... + 497842274.

Almost surely, 2^{13013753221764} is an apocalyptic number.

13013753221764 is the 3607458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13013753221764

13013753221764 is an abundant number, since it is smaller than the sum of its proper divisors (21375879029665).

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

13013753221764 is an frugal number, since it uses more digits than its factorization.

13013753221764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52338 (or 26169 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

Adding to 13013753221764 its reverse (46712235731031), we get a palindrome (59725988952795).

The spelling of 13013753221764 in words is "thirteen trillion, thirteen billion, seven hundred fifty-three million, two hundred twenty-one thousand, seven hundred sixty-four".