133131013120 has 176 divisors, whose sum is σ = 369090803520. Its totient is φ = 45130973184.

The previous prime is 133131013049. The next prime is 133131013123. The reversal of 133131013120 is 21310131331.

It is a super-2 number, since 2×133131013120² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133131013123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3168892 + ... + 3210628.

Almost surely, 2^133131013120 is an apocalyptic number.

133131013120 is a gapful number since it is divisible by the number (10) 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 133131013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184545401760).

133131013120 is an abundant number, since it is smaller than the sum of its proper divisors (235959790400).

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

133131013120 is an equidigital number, since it uses as much as digits as its factorization.

133131013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41858 (or 41840 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 133131013120 its reverse (21310131331), we get a palindrome (154441144451).

The spelling of 133131013120 in words is "one hundred thirty-three billion, one hundred thirty-one million, thirteen thousand, one hundred twenty".