131882208200 has 36 divisors (see below), whose sum is σ = 306638075265. Its totient is φ = 52750828960.

The previous prime is 131882208197. The next prime is 131882208209. The reversal of 131882208200 is 2802288131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 129244564036 + 2637644164 = 359506^2 + 51358^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=256790.

It is not an unprimeable number, because it can be changed into a prime (131882208209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5122961 + ... + 5148639.

Almost surely, 2^131882208200 is an apocalyptic number.

131882208200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131882208200 is an abundant number, since it is smaller than the sum of its proper divisors (174755867065).

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

131882208200 is an frugal number, since it uses more digits than its factorization.

131882208200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51374 (or 25686 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The spelling of 131882208200 in words is "one hundred thirty-one billion, eight hundred eighty-two million, two hundred eight thousand, two hundred".