13138102121104 has 45 divisors (see below), whose sum is σ = 26363945345257. Its totient is φ = 6342329077952.

The previous prime is 13138102121093. The next prime is 13138102121153. The reversal of 13138102121104 is 40112120183131.

The square root of 13138102121104 is 3624652.

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., 6889302063504 + 6248800057600 = 2624748^2 + 2499760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 420444009 + ... + 420475255.

Almost surely, 2^{13138102121104} is an apocalyptic number.

13138102121104 is the 3624652-nd square number.

It is an amenable number.

13138102121104 is an abundant number, since it is smaller than the sum of its proper divisors (13225843224153).

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

13138102121104 is an frugal number, since it uses more digits than its factorization.

13138102121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62560 (or 31278 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 13138102121104 in words is "thirteen trillion, one hundred thirty-eight billion, one hundred two million, one hundred twenty-one thousand, one hundred four".