131013413 has 2 divisors, whose sum is σ = 131013414. Its totient is φ = 131013412.

The previous prime is 131013361. The next prime is 131013427. The reversal of 131013413 is 314310131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93276964 + 37736449 = 9658^2 + 6143^2 .

It is a cyclic number.

It is not a de Polignac number, because 131013413 - 2¹⁰ = 131012389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131013391 and 131013400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131013913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65506706 + 65506707.

It is an arithmetic number, because the mean of its divisors is an integer number (65506707).

Almost surely, 2^131013413 is an apocalyptic number.

It is an amenable number.

131013413 is a deficient number, since it is larger than the sum of its proper divisors (1).

131013413 is an equidigital number, since it uses as much as digits as its factorization.

131013413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 131013413 is about 11446.1090768872. The cubic root of 131013413 is about 507.8926408897.

Adding to 131013413 its reverse (314310131), we get a palindrome (445323544).

The spelling of 131013413 in words is "one hundred thirty-one million, thirteen thousand, four hundred thirteen".