3131112000 has 224 divisors, whose sum is σ = 10397971584. Its totient is φ = 830208000.

The previous prime is 3131111987. The next prime is 3131112041. The reversal of 3131112000 is 2111313.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6791770 + ... + 6792230.

It is an arithmetic number, because the mean of its divisors is an integer number (46419516).

Almost surely, 2^3131112000 is an apocalyptic number.

3131112000 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 3131112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198985792).

3131112000 is an abundant number, since it is smaller than the sum of its proper divisors (7266859584).

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

3131112000 is a wasteful number, since it uses less digits than its factorization.

3131112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 3131112000 is about 55956.3401233497. The cubic root of 3131112000 is about 1462.9614001855.

Adding to 3131112000 its reverse (2111313), we get a palindrome (3133223313).

The spelling of 3131112000 in words is "three billion, one hundred thirty-one million, one hundred twelve thousand".