131402314133200 has 120 divisors (see below), whose sum is σ = 344404004768640. Its totient is φ = 47781204940800.

The previous prime is 131402314133161. The next prime is 131402314133219. The reversal of 131402314133200 is 2331413204131.

It is a congruent number.

It is an unprimeable number.

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, 149721256 + ... + 150596344.

It is an arithmetic number, because the mean of its divisors is an integer number (2870033373072).

Almost surely, 2^{131402314133200} is an apocalyptic number.

131402314133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131402314133200 is an abundant number, since it is smaller than the sum of its proper divisors (213001690635440).

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

131402314133200 is a wasteful number, since it uses less digits than its factorization.

131402314133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909245 (or 909234 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 131402314133200 its reverse (2331413204131), we get a palindrome (133733727337331).

The spelling of 131402314133200 in words is "one hundred thirty-one trillion, four hundred two billion, three hundred fourteen million, one hundred thirty-three thousand, two hundred".