131577013 has 2 divisors, whose sum is σ = 131577014. Its totient is φ = 131577012.

The previous prime is 131577007. The next prime is 131577049. The reversal of 131577013 is 310775131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117983044 + 13593969 = 10862^2 + 3687^2 .

It is an emirp because it is prime and its reverse (310775131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131577013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131577713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65788506 + 65788507.

It is an arithmetic number, because the mean of its divisors is an integer number (65788507).

Almost surely, 2^131577013 is an apocalyptic number.

It is an amenable number.

131577013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131577013 is an equidigital number, since it uses as much as digits as its factorization.

131577013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 131577013 is about 11470.7023760535. The cubic root of 131577013 is about 508.6198916302.

The spelling of 131577013 in words is "one hundred thirty-one million, five hundred seventy-seven thousand, thirteen".