131413233204200 has 24 divisors (see below), whose sum is σ = 305535767200230. Its totient is φ = 52565293281600.

The previous prime is 131413233204199. The next prime is 131413233204247. The reversal of 131413233204200 is 2402332314131.

It can be written as a sum of positive squares in 3 ways, for example, as 62871292856164 + 68541940348036 = 7929142^2 + 8279006^2 .

It is a super-2 number, since 2×131413233204200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 328533082811 + ... + 328533083210.

Almost surely, 2^{131413233204200} is an apocalyptic number.

131413233204200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131413233204200 is an abundant number, since it is smaller than the sum of its proper divisors (174122533996030).

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

131413233204200 is a wasteful number, since it uses less digits than its factorization.

131413233204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657066166037 (or 657066166028 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 131413233204200 its reverse (2402332314131), we get a palindrome (133815565518331).

The spelling of 131413233204200 in words is "one hundred thirty-one trillion, four hundred thirteen billion, two hundred thirty-three million, two hundred four thousand, two hundred".