131223504400 has 60 divisors (see below), whose sum is σ = 323785167172. Its totient is φ = 51070763520.

The previous prime is 131223504371. The next prime is 131223504403. The reversal of 131223504400 is 4405322131.

It can be written as a sum of positive squares in 6 ways, for example, as 217149696 + 131006354704 = 14736^2 + 361948^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (131223504403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4418427 + ... + 4448026.

Almost surely, 2^131223504400 is an apocalyptic number.

131223504400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131223504400 is an abundant number, since it is smaller than the sum of its proper divisors (192561662772).

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

131223504400 is a wasteful number, since it uses less digits than its factorization.

131223504400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8866508 (or 8866497 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 131223504400 its reverse (4405322131), we get a palindrome (135628826531).

The spelling of 131223504400 in words is "one hundred thirty-one billion, two hundred twenty-three million, five hundred four thousand, four hundred".