131413101024313 has 2 divisors, whose sum is σ = 131413101024314. Its totient is φ = 131413101024312.

The previous prime is 131413101024277. The next prime is 131413101024421. The reversal of 131413101024313 is 313420101314131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112615647650704 + 18797453373609 = 10612052^2 + 4335603^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131413101024313 is a prime.

It is a super-3 number, since 3×131413101024313³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (131413101024913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706550512156 + 65706550512157.

It is an arithmetic number, because the mean of its divisors is an integer number (65706550512157).

Almost surely, 2^{131413101024313} is an apocalyptic number.

It is an amenable number.

131413101024313 is a deficient number, since it is larger than the sum of its proper divisors (1).

131413101024313 is an equidigital number, since it uses as much as digits as its factorization.

131413101024313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 131413101024313 its reverse (313420101314131), we get a palindrome (444833202338444).

The spelling of 131413101024313 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred one million, twenty-four thousand, three hundred thirteen".