31153265043121 has 9 divisors (see below), whose sum is σ = 33734087463531. Its totient is φ = 28756793061672.

The previous prime is 31153265043091. The next prime is 31153265043133. The reversal of 31153265043121 is 12134056235113.

The square root of 31153265043121 is 5581511.

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., 4608471160225 + 26544793882896 = 2146735^2 + 5152164^2 .

It is not a de Polignac number, because 31153265043121 - 2³⁷ = 31015826089649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31153265043151) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72344970 + ... + 72774316.

Almost surely, 2^{31153265043121} is an apocalyptic number.

31153265043121 is the 5581511-st square number.

31153265043121 is the 2790756-th centered octagonal number.

It is an amenable number.

31153265043121 is a deficient number, since it is larger than the sum of its proper divisors (2580822420410).

31153265043121 is an frugal number, since it uses more digits than its factorization.

31153265043121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858720 (or 429360 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 31153265043121 in words is "thirty-one trillion, one hundred fifty-three billion, two hundred sixty-five million, forty-three thousand, one hundred twenty-one".