131413314221200 has 120 divisors (see below), whose sum is σ = 345244365133920. Its totient is φ = 47672609740800.

The previous prime is 131413314221107. The next prime is 131413314221209. The reversal of 131413314221200 is 2122413314131.

It is not an unprimeable number, because it can be changed into a prime (131413314221209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33796809 + ... + 37484008.

It is an arithmetic number, because the mean of its divisors is an integer number (2877036376116).

Almost surely, 2^{131413314221200} is an apocalyptic number.

131413314221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413314221200 is an abundant number, since it is smaller than the sum of its proper divisors (213831050912720).

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

131413314221200 is a wasteful number, since it uses less digits than its factorization.

131413314221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71281265 (or 71281254 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 131413314221200 its reverse (2122413314131), we get a palindrome (133535727535331).

The spelling of 131413314221200 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred fourteen million, two hundred twenty-one thousand, two hundred".