131022313013 has 2 divisors, whose sum is σ = 131022313014. Its totient is φ = 131022313012.

The previous prime is 131022312979. The next prime is 131022313027. The reversal of 131022313013 is 310313220131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97667500324 + 33354812689 = 312518^2 + 182633^2 .

It is a cyclic number.

It is not a de Polignac number, because 131022313013 - 2²⁴ = 131005535797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131022313043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65511156506 + 65511156507.

It is an arithmetic number, because the mean of its divisors is an integer number (65511156507).

Almost surely, 2^131022313013 is an apocalyptic number.

It is an amenable number.

131022313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131022313013 is an equidigital number, since it uses as much as digits as its factorization.

131022313013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 131022313013 its reverse (310313220131), we get a palindrome (441335533144).

The spelling of 131022313013 in words is "one hundred thirty-one billion, twenty-two million, three hundred thirteen thousand, thirteen".