131188313 has 8 divisors (see below), whose sum is σ = 135498528. Its totient is φ = 126935424.

The previous prime is 131188307. The next prime is 131188349. The reversal of 131188313 is 313881131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131188313 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131188363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9656 + ... + 18857.

It is an arithmetic number, because the mean of its divisors is an integer number (16937316).

Almost surely, 2^131188313 is an apocalyptic number.

It is an amenable number.

131188313 is a deficient number, since it is larger than the sum of its proper divisors (4310215).

131188313 is a wasteful number, since it uses less digits than its factorization.

131188313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28663.

The product of its digits is 1728, while the sum is 29.

The square root of 131188313 is about 11453.7466795804. The cubic root of 131188313 is about 508.1185488616.

The spelling of 131188313 in words is "one hundred thirty-one million, one hundred eighty-eight thousand, three hundred thirteen".