13001057 has 2 divisors, whose sum is σ = 13001058. Its totient is φ = 13001056.

The previous prime is 13001029. The next prime is 13001071. The reversal of 13001057 is 75010031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12967201 + 33856 = 3601^2 + 184^2 .

It is an emirp because it is prime and its reverse (75010031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13001057 - 2⁶ = 13000993 is a prime.

It is not a weakly prime, because it can be changed into another prime (13001557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500528 + 6500529.

It is an arithmetic number, because the mean of its divisors is an integer number (6500529).

Almost surely, 2^13001057 is an apocalyptic number.

It is an amenable number.

13001057 is a deficient number, since it is larger than the sum of its proper divisors (1).

13001057 is an equidigital number, since it uses as much as digits as its factorization.

13001057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 13001057 is about 3605.6978520115. The cubic root of 13001057 is about 235.1398413193.

Adding to 13001057 its reverse (75010031), we get a palindrome (88011088).

The spelling of 13001057 in words is "thirteen million, one thousand, fifty-seven".