131013333120 has 128 divisors (see below), whose sum is σ = 419082373440. Its totient is φ = 34813292544.

The previous prime is 131013333083. The next prime is 131013333127. The reversal of 131013333120 is 21333310131.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (131013333127) 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, 422802 + ... + 663918.

Almost surely, 2^131013333120 is an apocalyptic number.

131013333120 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 131013333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209541186720).

131013333120 is an abundant number, since it is smaller than the sum of its proper divisors (288069040320).

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

131013333120 is a wasteful number, since it uses less digits than its factorization.

131013333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241422 (or 241410 counting only the distinct ones).

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

Adding to 131013333120 its reverse (21333310131), we get a palindrome (152346643251).

The spelling of 131013333120 in words is "one hundred thirty-one billion, thirteen million, three hundred thirty-three thousand, one hundred twenty".