131045253243200 has 84 divisors (see below), whose sum is σ = 322664954668800. Its totient is φ = 52383682659840.

The previous prime is 131045253243199. The next prime is 131045253243209. The reversal of 131045253243200 is 2342352540131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131045253243209) 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 11 ways as a sum of consecutive naturals, for example, 24452000 + ... + 29325599.

Almost surely, 2^{131045253243200} is an apocalyptic number.

131045253243200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131045253243200 is an abundant number, since it is smaller than the sum of its proper divisors (191619701425600).

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

131045253243200 is a wasteful number, since it uses less digits than its factorization.

131045253243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53779144 (or 53779129 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 131045253243200 in words is "one hundred thirty-one trillion, forty-five billion, two hundred fifty-three million, two hundred forty-three thousand, two hundred".