31002113000 has 64 divisors (see below), whose sum is σ = 72634395600. Its totient is φ = 12385555200.

The previous prime is 31002112997. The next prime is 31002113003. The reversal of 31002113000 is 31120013.

It is an interprime number because it is at equal distance from previous prime (31002112997) and next prime (31002113003).

It can be written as a sum of positive squares in 8 ways, for example, as 327392836 + 30674720164 = 18094^2 + 175142^2 .

It is a super-2 number, since 2×31002113000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31002113003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810302 + ... + 847698.

Almost surely, 2^31002113000 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 31002113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36317197800).

31002113000 is an abundant number, since it is smaller than the sum of its proper divisors (41632282600).

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

31002113000 is a wasteful number, since it uses less digits than its factorization.

31002113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38247 (or 38233 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 31002113000 its reverse (31120013), we get a palindrome (31033233013).

The spelling of 31002113000 in words is "thirty-one billion, two million, one hundred thirteen thousand".