131275013 has 2 divisors, whose sum is σ = 131275014. Its totient is φ = 131275012.

The previous prime is 131274991. The next prime is 131275019. The reversal of 131275013 is 310572131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124055044 + 7219969 = 11138^2 + 2687^2 .

It is an emirp because it is prime and its reverse (310572131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131275013 - 2¹⁴ = 131258629 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131275013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131275019) 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 as a sum of consecutive naturals, namely, 65637506 + 65637507.

It is an arithmetic number, because the mean of its divisors is an integer number (65637507).

Almost surely, 2^131275013 is an apocalyptic number.

It is an amenable number.

131275013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131275013 is an equidigital number, since it uses as much as digits as its factorization.

131275013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 131275013 is about 11457.5308422016. The cubic root of 131275013 is about 508.2304596865.

The spelling of 131275013 in words is "one hundred thirty-one million, two hundred seventy-five thousand, thirteen".