131344309824 has 224 divisors, whose sum is σ = 452871449856. Its totient is φ = 32602521600.

The previous prime is 131344309813. The next prime is 131344309843. The reversal of 131344309824 is 428903443131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75924 + ... + 518124.

It is an arithmetic number, because the mean of its divisors is an integer number (2021747544).

Almost surely, 2^131344309824 is an apocalyptic number.

131344309824 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 131344309824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226435724928).

131344309824 is an abundant number, since it is smaller than the sum of its proper divisors (321527140032).

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

131344309824 is a wasteful number, since it uses less digits than its factorization.

131344309824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442253 (or 442243 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 131344309824 in words is "one hundred thirty-one billion, three hundred forty-four million, three hundred nine thousand, eight hundred twenty-four".