131040169344 has 384 divisors, whose sum is σ = 436182926400. Its totient is φ = 36989042688.

The previous prime is 131040169333. The next prime is 131040169499. The reversal of 131040169344 is 443961040131.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 131040169299 and 131040169308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418658532 + ... + 418658844.

Almost surely, 2^131040169344 is an apocalyptic number.

131040169344 is a gapful number since it is divisible by the number (14) 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 131040169344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218091463200).

131040169344 is an abundant number, since it is smaller than the sum of its proper divisors (305142757056).

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

131040169344 is a wasteful number, since it uses less digits than its factorization.

131040169344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 787 counting only the distinct ones).

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

The spelling of 131040169344 in words is "one hundred thirty-one billion, forty million, one hundred sixty-nine thousand, three hundred forty-four".