131013043200 has 1584 divisors, whose sum is σ = 558795234816. Its totient is φ = 29019340800.

The previous prime is 131013043177. The next prime is 131013043241. The reversal of 131013043200 is 2340310131.

131013043200 is a `hidden beast` number, since 1 + 310 + 1 + 30 + 4 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1578470359 + ... + 1578470441.

Almost surely, 2^131013043200 is an apocalyptic number.

131013043200 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 131013043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279397617408).

131013043200 is an abundant number, since it is smaller than the sum of its proper divisors (427782191616).

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

131013043200 is a wasteful number, since it uses less digits than its factorization.

131013043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131013043200 its reverse (2340310131), we get a palindrome (133353353331).

The spelling of 131013043200 in words is "one hundred thirty-one billion, thirteen million, forty-three thousand, two hundred".