131413113400200 has 48 divisors (see below), whose sum is σ = 407380651542480. Its totient is φ = 35043496906560.

The previous prime is 131413113400183. The next prime is 131413113400229. The reversal of 131413113400200 is 2004311314131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 109510927234 + ... + 109510928433.

It is an arithmetic number, because the mean of its divisors is an integer number (8487096907135).

Almost surely, 2^{131413113400200} is an apocalyptic number.

131413113400200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413113400200 is an abundant number, since it is smaller than the sum of its proper divisors (275967538142280).

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

131413113400200 is a wasteful number, since it uses less digits than its factorization.

131413113400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219021855686 (or 219021855677 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131413113400200 its reverse (2004311314131), we get a palindrome (133417424714331).

The spelling of 131413113400200 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred thirteen million, four hundred thousand, two hundred".