129313013 has 2 divisors, whose sum is σ = 129313014. Its totient is φ = 129313012.

The previous prime is 129313007. The next prime is 129313021. The reversal of 129313013 is 310313921.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90288004 + 39025009 = 9502^2 + 6247^2 .

It is a cyclic number.

It is not a de Polignac number, because 129313013 - 2⁶ = 129312949 is a prime.

It is a super-2 number, since 2×129313013² = 33443710662276338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 129313013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (129313043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64656506 + 64656507.

It is an arithmetic number, because the mean of its divisors is an integer number (64656507).

Almost surely, 2^129313013 is an apocalyptic number.

It is an amenable number.

129313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

129313013 is an equidigital number, since it uses as much as digits as its factorization.

129313013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 129313013 is about 11371.5879717830. The cubic root of 129313013 is about 505.6857826699.

Adding to 129313013 its reverse (310313921), we get a palindrome (439626934).

The spelling of 129313013 in words is "one hundred twenty-nine million, three hundred thirteen thousand, thirteen".