131020015200 has 288 divisors, whose sum is σ = 450389673216. Its totient is φ = 33015797760.

The previous prime is 131020015183. The next prime is 131020015229. The reversal of 131020015200 is 2510020131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131020015200.

It is a congruent number.

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, 4567302 + ... + 4595898.

It is an arithmetic number, because the mean of its divisors is an integer number (1563853032).

Almost surely, 2^131020015200 is an apocalyptic number.

131020015200 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 131020015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225194836608).

131020015200 is an abundant number, since it is smaller than the sum of its proper divisors (319369658016).

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

131020015200 is a wasteful number, since it uses less digits than its factorization.

131020015200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28726 (or 28713 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 131020015200 its reverse (2510020131), we get a palindrome (133530035331).

The spelling of 131020015200 in words is "one hundred thirty-one billion, twenty million, fifteen thousand, two hundred".