31013320113000 has 96 divisors (see below), whose sum is σ = 104825022012360. Its totient is φ = 8270218694400.

The previous prime is 31013320112989. The next prime is 31013320113001. The reversal of 31013320113000 is 31102331013.

It is a happy number.

31013320113000 is a `hidden beast` number, since 31 + 0 + 1 + 3 + 320 + 11 + 300 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4820808661956 + 26192511451044 = 2195634^2 + 5117862^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31013320113001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1722953229 + ... + 1722971228.

Almost surely, 2^{31013320113000} is an apocalyptic number.

31013320113000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31013320113000 is an abundant number, since it is smaller than the sum of its proper divisors (73811701899360).

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

31013320113000 is a wasteful number, since it uses less digits than its factorization.

31013320113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445924484 (or 3445924467 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31013320113000 its reverse (31102331013), we get a palindrome (31044422444013).

The spelling of 31013320113000 in words is "thirty-one trillion, thirteen billion, three hundred twenty million, one hundred thirteen thousand".