131323344400 has 120 divisors (see below), whose sum is σ = 323430877224. Its totient is φ = 51211468800.

The previous prime is 131323344389. The next prime is 131323344409. The reversal of 131323344400 is 4443323131.

It can be written as a sum of positive squares in 12 ways, for example, as 8172883216 + 123150461184 = 90404^2 + 350928^2 .

It is a super-2 number, since 2×131323344400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131323344409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39637144 + ... + 39640456.

Almost surely, 2^131323344400 is an apocalyptic number.

131323344400 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 131323344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161715438612).

131323344400 is an abundant number, since it is smaller than the sum of its proper divisors (192107532824).

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

131323344400 is a wasteful number, since it uses less digits than its factorization.

131323344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 131323344400 its reverse (4443323131), we get a palindrome (135766667531).

The spelling of 131323344400 in words is "one hundred thirty-one billion, three hundred twenty-three million, three hundred forty-four thousand, four hundred".