131351347200 has 768 divisors, whose sum is σ = 477828792000. Its totient is φ = 31708938240.

The previous prime is 131351347189. The next prime is 131351347213. The reversal of 131351347200 is 2743153131.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×131351347200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1354137552 + ... + 1354137648.

Almost surely, 2^131351347200 is an apocalyptic number.

131351347200 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 131351347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238914396000).

131351347200 is an abundant number, since it is smaller than the sum of its proper divisors (346477444800).

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

131351347200 is an equidigital number, since it uses as much as digits as its factorization.

131351347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 131351347200 in words is "one hundred thirty-one billion, three hundred fifty-one million, three hundred forty-seven thousand, two hundred".