131097253 has 16 divisors (see below), whose sum is σ = 154359040. Its totient is φ = 108988416.

The previous prime is 131097227. The next prime is 131097257. The reversal of 131097253 is 352790131.

It is a cyclic number.

It is not a de Polignac number, because 131097253 - 2⁵ = 131097221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131097257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113125 + ... + 114277.

It is an arithmetic number, because the mean of its divisors is an integer number (9647440).

Almost surely, 2^131097253 is an apocalyptic number.

It is an amenable number.

131097253 is a deficient number, since it is larger than the sum of its proper divisors (23261787).

131097253 is a wasteful number, since it uses less digits than its factorization.

131097253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636.

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 131097253 is about 11449.7708710699. The cubic root of 131097253 is about 508.0009571251. Note that the first 3 decimals are identical.

It can be divided in two parts, 1310972 and 53, that added together give a square (1311025 = 1145²).

The spelling of 131097253 in words is "one hundred thirty-one million, ninety-seven thousand, two hundred fifty-three".