131102255334015 has 64 divisors (see below), whose sum is σ = 266425439385600. Its totient is φ = 59919195301632.

The previous prime is 131102255333971. The next prime is 131102255334041. The reversal of 131102255334015 is 510433552201131.

It is a happy number.

131102255334015 is a `hidden beast` number, since 1 + 3 + 1 + 102 + 2 + 5 + 533 + 4 + 0 + 15 = 666.

It is not a de Polignac number, because 131102255334015 - 2¹⁹ = 131102254809727 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11079462 + ... + 19620371.

It is an arithmetic number, because the mean of its divisors is an integer number (4162897490400).

Almost surely, 2^{131102255334015} is an apocalyptic number.

131102255334015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131102255334015 is an abundant number, since it is smaller than the sum of its proper divisors (135323184051585).

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

131102255334015 is a wasteful number, since it uses less digits than its factorization.

131102255334015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30704373 (or 30704367 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 131102255334015 in words is "one hundred thirty-one trillion, one hundred two billion, two hundred fifty-five million, three hundred thirty-four thousand, fifteen".