13133115073296 has 45 divisors (see below), whose sum is σ = 36754603472821. Its totient is φ = 4377690528576.

The previous prime is 13133115073223. The next prime is 13133115073307. The reversal of 13133115073296 is 69237051133131.

The square root of 13133115073296 is 3623964.

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

13133115073296 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 311 + 5 + 0 + 7 + 329 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1581708675600 + 11551406397696 = 1257660^2 + 3398736^2 .

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, 43336570 + ... + 43638566.

Almost surely, 2^{13133115073296} is an apocalyptic number.

13133115073296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13133115073296 is the 3623964-th square number.

It is an amenable number.

13133115073296 is an abundant number, since it is smaller than the sum of its proper divisors (23621488399525).

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

13133115073296 is an frugal number, since it uses more digits than its factorization.

13133115073296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604008 (or 302002 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 13133115073296 in words is "thirteen trillion, one hundred thirty-three billion, one hundred fifteen million, seventy-three thousand, two hundred ninety-six".