31113900 has 108 divisors (see below), whose sum is σ = 98577024. Its totient is φ = 8208000.

The previous prime is 31113889. The next prime is 31113911. The reversal of 31113900 is 931113.

It is an interprime number because it is at equal distance from previous prime (31113889) and next prime (31113911).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 162805 + ... + 162995.

Almost surely, 2^31113900 is an apocalyptic number.

31113900 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 31113900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49288512).

31113900 is an abundant number, since it is smaller than the sum of its proper divisors (67463124).

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

31113900 is a wasteful number, since it uses less digits than its factorization.

31113900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 31113900 is about 5577.9835066088. The cubic root of 31113900 is about 314.5223296862.

The spelling of 31113900 in words is "thirty-one million, one hundred thirteen thousand, nine hundred".