131299365120 has 1296 divisors, whose sum is σ = 550402433280. Its totient is φ = 26568622080.

The previous prime is 131299365107. The next prime is 131299365269. The reversal of 131299365120 is 21563992131.

It is a super-2 number, since 2×131299365120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 143 ways as a sum of consecutive naturals, for example, 1662017241 + ... + 1662017319.

Almost surely, 2^131299365120 is an apocalyptic number.

131299365120 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 131299365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275201216640).

131299365120 is an abundant number, since it is smaller than the sum of its proper divisors (419103068160).

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

131299365120 is a wasteful number, since it uses less digits than its factorization.

131299365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 131299365120 in words is "one hundred thirty-one billion, two hundred ninety-nine million, three hundred sixty-five thousand, one hundred twenty".