131412320221200 has 720 divisors, whose sum is σ = 449235904103616. Its totient is φ = 32830429593600.

The previous prime is 131412320221177. The next prime is 131412320221229. The reversal of 131412320221200 is 2122023214131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96555708520 + ... + 96555709880.

Almost surely, 2^{131412320221200} is an apocalyptic number.

131412320221200 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 131412320221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224617952051808).

131412320221200 is an abundant number, since it is smaller than the sum of its proper divisors (317823583882416).

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

131412320221200 is a wasteful number, since it uses less digits than its factorization.

131412320221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131412320221200 its reverse (2122023214131), we get a palindrome (133534343435331).

The spelling of 131412320221200 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred twenty million, two hundred twenty-one thousand, two hundred".