13031493527056 has 45 divisors (see below), whose sum is σ = 26821596046669. Its totient is φ = 6132352024832.

The previous prime is 13031493527023. The next prime is 13031493527057. The reversal of 13031493527056 is 65072539413031.

The square root of 13031493527056 is 3609916.

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., 10145626448400 + 2885867078656 = 3185220^2 + 1698784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13031493527057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 245447745 + ... + 245500831.

Almost surely, 2^{13031493527056} is an apocalyptic number.

13031493527056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13031493527056 is the 3609916-th square number.

It is an amenable number.

13031493527056 is an abundant number, since it is smaller than the sum of its proper divisors (13790102519613).

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

13031493527056 is an frugal number, since it uses more digits than its factorization.

13031493527056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106216 (or 53106 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 49.

Multiplying 13031493527056 by its sum of digits (49), we get a square (638543182825744 = 25269412²).

The spelling of 13031493527056 in words is "thirteen trillion, thirty-one billion, four hundred ninety-three million, five hundred twenty-seven thousand, fifty-six".