131301411101513 has 2 divisors, whose sum is σ = 131301411101514. Its totient is φ = 131301411101512.

The previous prime is 131301411101431. The next prime is 131301411101537. The reversal of 131301411101513 is 315101114103131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131165436751504 + 135974350009 = 11452748^2 + 368747^2 .

It is a cyclic number.

It is not a de Polignac number, because 131301411101513 - 2¹⁴ = 131301411085129 is a prime.

It is not a weakly prime, because it can be changed into another prime (131301411101543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65650705550756 + 65650705550757.

It is an arithmetic number, because the mean of its divisors is an integer number (65650705550757).

Almost surely, 2^{131301411101513} is an apocalyptic number.

It is an amenable number.

131301411101513 is a deficient number, since it is larger than the sum of its proper divisors (1).

131301411101513 is an equidigital number, since it uses as much as digits as its factorization.

131301411101513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 26.

Adding to 131301411101513 its reverse (315101114103131), we get a palindrome (446402525204644).

The spelling of 131301411101513 in words is "one hundred thirty-one trillion, three hundred one billion, four hundred eleven million, one hundred one thousand, five hundred thirteen".