131983240719120 has 480 divisors, whose sum is σ = 484701883165440. Its totient is φ = 29614668410880.

The previous prime is 131983240719107. The next prime is 131983240719133. The reversal of 131983240719120 is 21917042389131.

It is an interprime number because it is at equal distance from previous prime (131983240719107) and next prime (131983240719133).

It is a super-2 number, since 2×131983240719120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 364955509 + ... + 365316971.

It is an arithmetic number, because the mean of its divisors is an integer number (1009795589928).

Almost surely, 2^{131983240719120} is an apocalyptic number.

131983240719120 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 131983240719120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242350941582720).

131983240719120 is an abundant number, since it is smaller than the sum of its proper divisors (352718642446320).

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

131983240719120 is a wasteful number, since it uses less digits than its factorization.

131983240719120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362063 (or 362050 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 131983240719120 in words is "one hundred thirty-one trillion, nine hundred eighty-three billion, two hundred forty million, seven hundred nineteen thousand, one hundred twenty".