31002013000000 has 196 divisors, whose sum is σ = 87884065694560. Its totient is φ = 10629259200000.

The previous prime is 31002012999989. The next prime is 31002013000001. The reversal of 31002013000000 is 31020013.

It is a super-2 number, since 2×31002013000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002013000001) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4785571 + ... + 9214429.

Almost surely, 2^{31002013000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31002013000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43942032847280).

31002013000000 is an abundant number, since it is smaller than the sum of its proper divisors (56882052694560).

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

31002013000000 is an frugal number, since it uses more digits than its factorization.

31002013000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428908 (or 4428873 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 31002013000000 its reverse (31020013), we get a palindrome (31002044020013).

The spelling of 31002013000000 in words is "thirty-one trillion, two billion, thirteen million", and thus it is an aban number and an uban number.