31001013100 has 72 divisors (see below), whose sum is σ = 68490616320. Its totient is φ = 12176297280.

The previous prime is 31001013061. The next prime is 31001013133. The reversal of 31001013100 is 131010013.

It is a super-2 number, since 2×31001013100² (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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6269229 + ... + 6274171.

It is an arithmetic number, because the mean of its divisors is an integer number (951258560).

Almost surely, 2^31001013100 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 31001013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34245308160).

31001013100 is an abundant number, since it is smaller than the sum of its proper divisors (37489603220).

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

31001013100 is a wasteful number, since it uses less digits than its factorization.

31001013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6079 (or 6072 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 31001013100 its reverse (131010013), we get a palindrome (31132023113).

The spelling of 31001013100 in words is "thirty-one billion, one million, thirteen thousand, one hundred".