31311132000000 has 252 divisors, whose sum is σ = 104165298073368. Its totient is φ = 8349632000000.

The previous prime is 31311131999893. The next prime is 31311132000017. The reversal of 31311132000000 is 23111313.

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 27 ways as a sum of consecutive naturals, for example, 10695370 + ... + 13304630.

It is an arithmetic number, because the mean of its divisors is an integer number (413354357434).

Almost surely, 2^{31311132000000} is an apocalyptic number.

31311132000000 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 31311132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52082649036684).

31311132000000 is an abundant number, since it is smaller than the sum of its proper divisors (72854166073368).

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

31311132000000 is an frugal number, since it uses more digits than its factorization.

31311132000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2609310 (or 2609271 counting only the distinct ones).

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

Adding to 31311132000000 its reverse (23111313), we get a palindrome (31311155111313).

The spelling of 31311132000000 in words is "thirty-one trillion, three hundred eleven billion, one hundred thirty-two million", and thus it is an aban number.