231131312132000 has 768 divisors, whose sum is σ = 687089203347456. Its totient is φ = 74701186560000.

The previous prime is 231131312131957. The next prime is 231131312132011. The reversal of 231131312132000 is 231213131132.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22503286865 + ... + 22503297135.

It is an arithmetic number, because the mean of its divisors is an integer number (894647400192).

Almost surely, 2^{231131312132000} is an apocalyptic number.

231131312132000 is a gapful number since it is divisible by the number (20) 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 231131312132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343544601673728).

231131312132000 is an abundant number, since it is smaller than the sum of its proper divisors (455957891215456).

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

231131312132000 is a wasteful number, since it uses less digits than its factorization.

231131312132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10830 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 231131312132000 its reverse (231213131132), we get a palindrome (231362525263132).

The spelling of 231131312132000 in words is "two hundred thirty-one trillion, one hundred thirty-one billion, three hundred twelve million, one hundred thirty-two thousand".