131302243200 has 288 divisors, whose sum is σ = 436350118680. Its totient is φ = 34703052800.

The previous prime is 131302243183. The next prime is 131302243207. The reversal of 131302243200 is 2342203131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131302243207) 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 35 ways as a sum of consecutive naturals, for example, 164745202 + ... + 164745998.

Almost surely, 2^131302243200 is an apocalyptic number.

131302243200 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 131302243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218175059340).

131302243200 is an abundant number, since it is smaller than the sum of its proper divisors (305047875480).

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

131302243200 is an equidigital number, since it uses as much as digits as its factorization.

131302243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 131302243200 its reverse (2342203131), we get a palindrome (133644446331).

The spelling of 131302243200 in words is "one hundred thirty-one billion, three hundred two million, two hundred forty-three thousand, two hundred".