131074934998272 has 144 divisors (see below), whose sum is σ = 382108029791040. Its totient is φ = 39703563698176.

The previous prime is 131074934998213. The next prime is 131074934998303. The reversal of 131074934998272 is 272899439470131.

It is a junction number, because it is equal to n+sod(n) for n = 131074934998197 and 131074934998206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172715178 + ... + 173472425.

It is an arithmetic number, because the mean of its divisors is an integer number (2653527984660).

Almost surely, 2^{131074934998272} is an apocalyptic number.

131074934998272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131074934998272 is an abundant number, since it is smaller than the sum of its proper divisors (251033094792768).

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

131074934998272 is a wasteful number, since it uses less digits than its factorization.

131074934998272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346187668 (or 346187654 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 69.

The spelling of 131074934998272 in words is "one hundred thirty-one trillion, seventy-four billion, nine hundred thirty-four million, nine hundred ninety-eight thousand, two hundred seventy-two".