31013110013121 has 36 divisors (see below), whose sum is σ = 49293768123600. Its totient is φ = 18735608740464.

The previous prime is 31013110013107. The next prime is 31013110013141. The reversal of 31013110013121 is 12131001131013.

31013110013121 is a `hidden beast` number, since 310 + 1 + 31 + 10 + 0 + 1 + 312 + 1 = 666.

It is not a de Polignac number, because 31013110013121 - 2²² = 31013105818817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31013110013094 and 31013110013103.

It is not an unprimeable number, because it can be changed into a prime (31013110013141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 171330351 + ... + 171511268.

Almost surely, 2^{31013110013121} is an apocalyptic number.

It is an amenable number.

31013110013121 is a deficient number, since it is larger than the sum of its proper divisors (18280658110479).

31013110013121 is a wasteful number, since it uses less digits than its factorization.

31013110013121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342841690 (or 342841664 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 31013110013121 its reverse (12131001131013), we get a palindrome (43144111144134).

The spelling of 31013110013121 in words is "thirty-one trillion, thirteen billion, one hundred ten million, thirteen thousand, one hundred twenty-one".