31133112120000 has 420 divisors, whose sum is σ = 121648500000456. Its totient is φ = 7547420160000.

The previous prime is 31133112119911. The next prime is 31133112120001. The reversal of 31133112120000 is 2121133113.

31133112120000 is a `hidden beast` number, since 3 + 11 + 331 + 121 + 200 + 0 + 0 = 666.

It is a super-4 number, since 4×31133112120000⁴ (a number of 55 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (31133112120001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29052 + ... + 7890948.

Almost surely, 2^{31133112120000} is an apocalyptic number.

31133112120000 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 31133112120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60824250000228).

31133112120000 is an abundant number, since it is smaller than the sum of its proper divisors (90515387880456).

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

31133112120000 is a wasteful number, since it uses less digits than its factorization.

31133112120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7861946 (or 7861918 counting only the distinct ones).

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

Adding to 31133112120000 its reverse (2121133113), we get a palindrome (31135233253113).

The spelling of 31133112120000 in words is "thirty-one trillion, one hundred thirty-three billion, one hundred twelve million, one hundred twenty thousand".