31031012133000 has 192 divisors, whose sum is σ = 114419805102720. Its totient is φ = 7522669584000.

The previous prime is 31031012132999. The next prime is 31031012133097. The reversal of 31031012133000 is 33121013013.

It is a happy number.

31031012133000 is a `hidden beast` number, since 3 + 1 + 0 + 310 + 1 + 21 + 330 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 156623284 + ... + 156821283.

It is an arithmetic number, because the mean of its divisors is an integer number (595936484910).

Almost surely, 2^{31031012133000} is an apocalyptic number.

31031012133000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31031012133000 is an abundant number, since it is smaller than the sum of its proper divisors (83388792969720).

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

31031012133000 is a wasteful number, since it uses less digits than its factorization.

31031012133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313444605 (or 313444588 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31031012133000 its reverse (33121013013), we get a palindrome (31064133146013).

The spelling of 31031012133000 in words is "thirty-one trillion, thirty-one billion, twelve million, one hundred thirty-three thousand".