13135261057 has 2 divisors, whose sum is σ = 13135261058. Its totient is φ = 13135261056.

The previous prime is 13135260997. The next prime is 13135261081. The reversal of 13135261057 is 75016253131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9780418816 + 3354842241 = 98896^2 + 57921^2 .

It is a cyclic number.

It is not a de Polignac number, because 13135261057 - 2¹⁵ = 13135228289 is a prime.

It is not a weakly prime, because it can be changed into another prime (13135262057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6567630528 + 6567630529.

It is an arithmetic number, because the mean of its divisors is an integer number (6567630529).

Almost surely, 2^13135261057 is an apocalyptic number.

It is an amenable number.

13135261057 is a deficient number, since it is larger than the sum of its proper divisors (1).

13135261057 is an equidigital number, since it uses as much as digits as its factorization.

13135261057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18900, while the sum is 34.

The spelling of 13135261057 in words is "thirteen billion, one hundred thirty-five million, two hundred sixty-one thousand, fifty-seven".