131334313013 has 2 divisors, whose sum is σ = 131334313014. Its totient is φ = 131334313012.

The previous prime is 131334313001. The next prime is 131334313021. The reversal of 131334313013 is 310313433131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127632564049 + 3701748964 = 357257^2 + 60842^2 .

It is a cyclic number.

It is not a de Polignac number, because 131334313013 - 2³⁴ = 114154443829 is a prime.

It is a super-2 number, since 2×131334313013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131334313063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65667156506 + 65667156507.

It is an arithmetic number, because the mean of its divisors is an integer number (65667156507).

Almost surely, 2^131334313013 is an apocalyptic number.

It is an amenable number.

131334313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131334313013 is an equidigital number, since it uses as much as digits as its factorization.

131334313013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 131334313013 its reverse (310313433131), we get a palindrome (441647746144).

The spelling of 131334313013 in words is "one hundred thirty-one billion, three hundred thirty-four million, three hundred thirteen thousand, thirteen".