131024144200 has 96 divisors (see below), whose sum is σ = 322853833800. Its totient is φ = 49280368640.

The previous prime is 131024144123. The next prime is 131024144233. The reversal of 131024144200 is 2441420131.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 48191364 + 130975952836 = 6942^2 + 361906^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3712236 + ... + 3747364.

Almost surely, 2^131024144200 is an apocalyptic number.

131024144200 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 131024144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161426916900).

131024144200 is an abundant number, since it is smaller than the sum of its proper divisors (191829689600).

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

131024144200 is a wasteful number, since it uses less digits than its factorization.

131024144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36259 (or 36250 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 131024144200 its reverse (2441420131), we get a palindrome (133465564331).

The spelling of 131024144200 in words is "one hundred thirty-one billion, twenty-four million, one hundred forty-four thousand, two hundred".