31913193312 has 576 divisors, whose sum is σ = 127174634496. Its totient is φ = 7317319680.

The previous prime is 31913193287. The next prime is 31913193313. The reversal of 31913193312 is 21339131913.

31913193312 is a `hidden beast` number, since 3 + 1 + 9 + 1 + 319 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31913193313) 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 95 ways as a sum of consecutive naturals, for example, 6628218 + ... + 6633030.

It is an arithmetic number, because the mean of its divisors is an integer number (220789296).

Almost surely, 2^31913193312 is an apocalyptic number.

31913193312 is a gapful number since it is divisible by the number (32) 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 31913193312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63587317248).

31913193312 is an abundant number, since it is smaller than the sum of its proper divisors (95261441184).

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

31913193312 is a wasteful number, since it uses less digits than its factorization.

31913193312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4883 (or 4872 counting only the distinct ones).

The product of its digits is 13122, while the sum is 36.

The spelling of 31913193312 in words is "thirty-one billion, nine hundred thirteen million, one hundred ninety-three thousand, three hundred twelve".