131333013120 has 256 divisors, whose sum is σ = 444157188480. Its totient is φ = 32894484480.

The previous prime is 131333013113. The next prime is 131333013173. The reversal of 131333013120 is 21310333131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17001579 + ... + 17009301.

Almost surely, 2^131333013120 is an apocalyptic number.

131333013120 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 131333013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222078594240).

131333013120 is an abundant number, since it is smaller than the sum of its proper divisors (312824175360).

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

131333013120 is a wasteful number, since it uses less digits than its factorization.

131333013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8283 (or 8271 counting only the distinct ones).

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

Adding to 131333013120 its reverse (21310333131), we get a palindrome (152643346251).

The spelling of 131333013120 in words is "one hundred thirty-one billion, three hundred thirty-three million, thirteen thousand, one hundred twenty".