131531305301 has 24 divisors (see below), whose sum is σ = 152856006240. Its totient is φ = 112781069280.

The previous prime is 131531305277. The next prime is 131531305309. The reversal of 131531305301 is 103503135131.

It is a de Polignac number, because none of the positive numbers 2^k-131531305301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131531305309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395855 + ... + 647891.

It is an arithmetic number, because the mean of its divisors is an integer number (6369000260).

Almost surely, 2^131531305301 is an apocalyptic number.

131531305301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131531305301 is a deficient number, since it is larger than the sum of its proper divisors (21324700939).

131531305301 is a wasteful number, since it uses less digits than its factorization.

131531305301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252305 (or 252294 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 26.

The spelling of 131531305301 in words is "one hundred thirty-one billion, five hundred thirty-one million, three hundred five thousand, three hundred one".