131382624200 has 48 divisors (see below), whose sum is σ = 306234218580. Its totient is φ = 52420642560.

The previous prime is 131382624187. The next prime is 131382624211. The reversal of 131382624200 is 2426283131.

It can be written as a sum of positive squares in 6 ways, for example, as 15563560516 + 115819063684 = 124754^2 + 340322^2 .

It is a super-2 number, since 2×131382624200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 747947 + ... + 906746.

Almost surely, 2^131382624200 is an apocalyptic number.

131382624200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131382624200 is an abundant number, since it is smaller than the sum of its proper divisors (174851594380).

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

131382624200 is a wasteful number, since it uses less digits than its factorization.

131382624200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655106 (or 1655097 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 131382624200 in words is "one hundred thirty-one billion, three hundred eighty-two million, six hundred twenty-four thousand, two hundred".