13138013953 has 2 divisors, whose sum is σ = 13138013954. Its totient is φ = 13138013952.

The previous prime is 13138013893. The next prime is 13138013957. The reversal of 13138013953 is 35931083131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7376748544 + 5761265409 = 85888^2 + 75903^2 .

It is a cyclic number.

It is not a de Polignac number, because 13138013953 - 2¹³ = 13138005761 is a prime.

It is not a weakly prime, because it can be changed into another prime (13138013957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6569006976 + 6569006977.

It is an arithmetic number, because the mean of its divisors is an integer number (6569006977).

Almost surely, 2^13138013953 is an apocalyptic number.

It is an amenable number.

13138013953 is a deficient number, since it is larger than the sum of its proper divisors (1).

13138013953 is an equidigital number, since it uses as much as digits as its factorization.

13138013953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 13138013953 in words is "thirteen billion, one hundred thirty-eight million, thirteen thousand, nine hundred fifty-three".