31131012000 has 384 divisors, whose sum is σ = 117809572608. Its totient is φ = 7102464000.

The previous prime is 31131011971. The next prime is 31131012001. The reversal of 31131012000 is 21013113.

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

It is not an unprimeable number, because it can be changed into a prime (31131012001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2237064 + ... + 2250936.

It is an arithmetic number, because the mean of its divisors is an integer number (306795762).

Almost surely, 2^31131012000 is an apocalyptic number.

31131012000 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 31131012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58904786304).

31131012000 is an abundant number, since it is smaller than the sum of its proper divisors (86678560608).

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

31131012000 is a wasteful number, since it uses less digits than its factorization.

31131012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13929 (or 13911 counting only the distinct ones).

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

Adding to 31131012000 its reverse (21013113), we get a palindrome (31152025113).

The spelling of 31131012000 in words is "thirty-one billion, one hundred thirty-one million, twelve thousand".