31131132000 has 384 divisors, whose sum is σ = 104500730880. Its totient is φ = 8099942400.

The previous prime is 31131131963. The next prime is 31131132061. The reversal of 31131132000 is 23113113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110003859 + ... + 110004141.

It is an arithmetic number, because the mean of its divisors is an integer number (272137320).

Almost surely, 2^31131132000 is an apocalyptic number.

31131132000 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 31131132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52250365440).

31131132000 is an abundant number, since it is smaller than the sum of its proper divisors (73369598880).

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

31131132000 is a wasteful number, since it uses less digits than its factorization.

31131132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31131132000 its reverse (23113113), we get a palindrome (31154245113).

It can be divided in two parts, 3113113 and 2000, that added together give a palindrome (3115113).

The spelling of 31131132000 in words is "thirty-one billion, one hundred thirty-one million, one hundred thirty-two thousand".