131012114224200 has 192 divisors, whose sum is σ = 443176044292800. Its totient is φ = 31752133017600.

The previous prime is 131012114224087. The next prime is 131012114224217. The reversal of 131012114224200 is 2422411210131.

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 47 ways as a sum of consecutive naturals, for example, 22417096 + ... + 27650504.

It is an arithmetic number, because the mean of its divisors is an integer number (2308208564025).

Almost surely, 2^{131012114224200} is an apocalyptic number.

131012114224200 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 131012114224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221588022146400).

131012114224200 is an abundant number, since it is smaller than the sum of its proper divisors (312163930068600).

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

131012114224200 is a wasteful number, since it uses less digits than its factorization.

131012114224200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5237232 (or 5237223 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 131012114224200 its reverse (2422411210131), we get a palindrome (133434525434331).

The spelling of 131012114224200 in words is "one hundred thirty-one trillion, twelve billion, one hundred fourteen million, two hundred twenty-four thousand, two hundred".