131430016368 has 240 divisors, whose sum is σ = 439198452000. Its totient is φ = 37521211392.

The previous prime is 131430016363. The next prime is 131430016411. The reversal of 131430016368 is 863610034131.

131430016368 is a `hidden beast` number, since 1 + 3 + 1 + 430 + 0 + 163 + 68 = 666.

It is a super-2 number, since 2×131430016368² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131430016363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48875568 + ... + 48878256.

It is an arithmetic number, because the mean of its divisors is an integer number (1829993550).

Almost surely, 2^131430016368 is an apocalyptic number.

131430016368 is a gapful number since it is divisible by the number (18) 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 131430016368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219599226000).

131430016368 is an abundant number, since it is smaller than the sum of its proper divisors (307768435632).

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

131430016368 is a wasteful number, since it uses less digits than its factorization.

131430016368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 131430016368 in words is "one hundred thirty-one billion, four hundred thirty million, sixteen thousand, three hundred sixty-eight".