131220435200 has 54 divisors (see below), whose sum is σ = 324791096154. Its totient is φ = 52488171520.

The previous prime is 131220435163. The next prime is 131220435209. The reversal of 131220435200 is 2534022131.

It can be written as a sum of positive squares in 3 ways, for example, as 188018944 + 131032416256 = 13712^2 + 361984^2 .

It is a super-2 number, since 2×131220435200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131220435209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10245197 + ... + 10257996.

Almost surely, 2^131220435200 is an apocalyptic number.

131220435200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131220435200 is an abundant number, since it is smaller than the sum of its proper divisors (193570660954).

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

131220435200 is an equidigital number, since it uses as much as digits as its factorization.

131220435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20503219 (or 20503200 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 131220435200 its reverse (2534022131), we get a palindrome (133754457331).

The spelling of 131220435200 in words is "one hundred thirty-one billion, two hundred twenty million, four hundred thirty-five thousand, two hundred".