131688001200315 has 64 divisors (see below), whose sum is σ = 242213777068032. Its totient is φ = 59847977779200.

The previous prime is 131688001200307. The next prime is 131688001200319. The reversal of 131688001200315 is 513002100886131.

It is not a de Polignac number, because 131688001200315 - 2³ = 131688001200307 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131688001200319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8098299 + ... + 18137211.

It is an arithmetic number, because the mean of its divisors is an integer number (3784590266688).

Almost surely, 2^{131688001200315} is an apocalyptic number.

131688001200315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131688001200315 is a deficient number, since it is larger than the sum of its proper divisors (110525775867717).

131688001200315 is a wasteful number, since it uses less digits than its factorization.

131688001200315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10039660.

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 131688001200315 in words is "one hundred thirty-one trillion, six hundred eighty-eight billion, one million, two hundred thousand, three hundred fifteen".