131441172200 has 48 divisors (see below), whose sum is σ = 329108479980. Its totient is φ = 48532124160.

The previous prime is 131441172103. The next prime is 131441172229. The reversal of 131441172200 is 2271144131.

131441172200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 40443623236 + 90997548964 = 201106^2 + 301658^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 131441172200.

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, 25274549 + ... + 25279748.

Almost surely, 2^131441172200 is an apocalyptic number.

131441172200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131441172200 is an abundant number, since it is smaller than the sum of its proper divisors (197667307780).

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

131441172200 is a wasteful number, since it uses less digits than its factorization.

131441172200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50554326 (or 50554317 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 131441172200 in words is "one hundred thirty-one billion, four hundred forty-one million, one hundred seventy-two thousand, two hundred".