131318579200 has 192 divisors, whose sum is σ = 336235443840. Its totient is φ = 50823168000.

The previous prime is 131318579191. The next prime is 131318579207. The reversal of 131318579200 is 2975813131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131318579207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25392615 + ... + 25397785.

It is an arithmetic number, because the mean of its divisors is an integer number (1751226270).

Almost surely, 2^131318579200 is an apocalyptic number.

131318579200 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 131318579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168117721920).

131318579200 is an abundant number, since it is smaller than the sum of its proper divisors (204916864640).

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

131318579200 is an frugal number, since it uses more digits than its factorization.

131318579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 131318579200 in words is "one hundred thirty-one billion, three hundred eighteen million, five hundred seventy-nine thousand, two hundred".