31032113133000 has 512 divisors, whose sum is σ = 111946438656000. Its totient is φ = 7010530560000.

The previous prime is 31032113132953. The next prime is 31032113133011. The reversal of 31032113133000 is 33131123013.

It is a super-2 number, since 2×31032113133000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 631004412 + ... + 631053588.

It is an arithmetic number, because the mean of its divisors is an integer number (218645388000).

Almost surely, 2^{31032113133000} is an apocalyptic number.

31032113133000 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 31032113133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55973219328000).

31032113133000 is an abundant number, since it is smaller than the sum of its proper divisors (80914325523000).

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

31032113133000 is a wasteful number, since it uses less digits than its factorization.

31032113133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49558 (or 49544 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 31032113133000 its reverse (33131123013), we get a palindrome (31065244256013).

The spelling of 31032113133000 in words is "thirty-one trillion, thirty-two billion, one hundred thirteen million, one hundred thirty-three thousand".