31152255225113 has 12 divisors (see below), whose sum is σ = 34242085451364. Its totient is φ = 28319942244000.

The previous prime is 31152255225089. The next prime is 31152255225139.

31152255225113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 29663240281609 + 1489014943504 = 5446397^2 + 1220252^2 .

It is not a de Polignac number, because 31152255225113 - 2¹⁶ = 31152255159577 is a prime.

It is a super-3 number, since 3×31152255225113³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31152255245113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11033663 + ... + 13566363.

It is an arithmetic number, because the mean of its divisors is an integer number (2853507120947).

Almost surely, 2^{31152255225113} is an apocalyptic number.

It is an amenable number.

31152255225113 is a deficient number, since it is larger than the sum of its proper divisors (3089830226251).

31152255225113 is a wasteful number, since it uses less digits than its factorization.

31152255225113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634376 (or 2634365 counting only the distinct ones).

The product of its digits is 90000, while the sum is 38.

The spelling of 31152255225113 in words is "thirty-one trillion, one hundred fifty-two billion, two hundred fifty-five million, two hundred twenty-five thousand, one hundred thirteen".