31113321120000 has 2160 divisors, whose sum is σ = 140048068672512. Its totient is φ = 6476267520000.

The previous prime is 31113321119999. The next prime is 31113321120019. The reversal of 31113321120000 is 2112331113.

31113321120000 is a `hidden beast` number, since 31 + 113 + 321 + 1 + 200 + 0 + 0 = 666.

It is a super-2 number, since 2×31113321120000² (a number of 28 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5312157072 + ... + 5312162928.

Almost surely, 2^{31113321120000} is an apocalyptic number.

31113321120000 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 31113321120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70024034336256).

31113321120000 is an abundant number, since it is smaller than the sum of its proper divisors (108934747552512).

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

31113321120000 is a wasteful number, since it uses less digits than its factorization.

31113321120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954 (or 5922 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31113321120000 its reverse (2112331113), we get a palindrome (31115433451113).

The spelling of 31113321120000 in words is "thirty-one trillion, one hundred thirteen billion, three hundred twenty-one million, one hundred twenty thousand".