31001010000 has 400 divisors, whose sum is σ = 105428252160. Its totient is φ = 7832000000.

The previous prime is 31001009987. The next prime is 31001010113. The reversal of 31001010000 is 1010013.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×31001010000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 123509875 + ... + 123510125.

Almost surely, 2^31001010000 is an apocalyptic number.

31001010000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31001010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52714126080).

31001010000 is an abundant number, since it is smaller than the sum of its proper divisors (74427242160).

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

31001010000 is a wasteful number, since it uses less digits than its factorization.

31001010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 31001010000 its reverse (1010013), we get a palindrome (31002020013).

The spelling of 31001010000 in words is "thirty-one billion, one million, ten thousand".