131813505600 has 672 divisors, whose sum is σ = 504112377600. Its totient is φ = 29534453760.

The previous prime is 131813505599. The next prime is 131813505611. The reversal of 131813505600 is 6505318131.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×131813505600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 565723084 + ... + 565723316.

Almost surely, 2^131813505600 is an apocalyptic number.

131813505600 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 131813505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252056188800).

131813505600 is an abundant number, since it is smaller than the sum of its proper divisors (372298872000).

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

131813505600 is a wasteful number, since it uses less digits than its factorization.

131813505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 131813505600 in words is "one hundred thirty-one billion, eight hundred thirteen million, five hundred five thousand, six hundred".