31002130000 has 100 divisors (see below), whose sum is σ = 75165664288. Its totient is φ = 12383280000.

The previous prime is 31002129967. The next prime is 31002130001. The reversal of 31002130000 is 3120013.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×31002130000² (a number of 22 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 (31002130001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8828245 + ... + 8831755.

Almost surely, 2^31002130000 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 31002130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37582832144).

31002130000 is an abundant number, since it is smaller than the sum of its proper divisors (44163534288).

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

31002130000 is an equidigital number, since it uses as much as digits as its factorization.

31002130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422 (or 4401 counting only the distinct ones).

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

Adding to 31002130000 its reverse (3120013), we get a palindrome (31005250013).

The spelling of 31002130000 in words is "thirty-one billion, two million, one hundred thirty thousand".