131008013 has 2 divisors, whose sum is σ = 131008014. Its totient is φ = 131008012.

The previous prime is 131007913. The next prime is 131008027. The reversal of 131008013 is 310800131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103999204 + 27008809 = 10198^2 + 5197^2 .

It is a cyclic number.

It is not a de Polignac number, because 131008013 - 2¹⁶ = 130942477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131007982 and 131008000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131008093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65504006 + 65504007.

It is an arithmetic number, because the mean of its divisors is an integer number (65504007).

Almost surely, 2^131008013 is an apocalyptic number.

It is an amenable number.

131008013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131008013 is an equidigital number, since it uses as much as digits as its factorization.

131008013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 131008013 is about 11445.8731864371. The cubic root of 131008013 is about 507.8856628307.

Adding to 131008013 its reverse (310800131), we get a palindrome (441808144).

The spelling of 131008013 in words is "one hundred thirty-one million, eight thousand, thirteen".