13000133057 has 2 divisors, whose sum is σ = 13000133058. Its totient is φ = 13000133056.

The previous prime is 13000133023. The next prime is 13000133063. The reversal of 13000133057 is 75033100031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12848449201 + 151683856 = 113351^2 + 12316^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000133057 - 2²⁴ = 12983355841 is a prime.

It is not a weakly prime, because it can be changed into another prime (13000133077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500066528 + 6500066529.

It is an arithmetic number, because the mean of its divisors is an integer number (6500066529).

Almost surely, 2^13000133057 is an apocalyptic number.

It is an amenable number.

13000133057 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000133057 is an equidigital number, since it uses as much as digits as its factorization.

13000133057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 945, while the sum is 23.

Adding to 13000133057 its reverse (75033100031), we get a palindrome (88033233088).

The spelling of 13000133057 in words is "thirteen billion, one hundred thirty-three thousand, fifty-seven".