13100513 has 2 divisors, whose sum is σ = 13100514. Its totient is φ = 13100512.

The previous prime is 13100459. The next prime is 13100531. The reversal of 13100513 is 31500131.

Together with next prime (13100531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11075584 + 2024929 = 3328^2 + 1423^2 .

It is a cyclic number.

It is not a de Polignac number, because 13100513 - 2¹² = 13096417 is a prime.

It is not a weakly prime, because it can be changed into another prime (13100573) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550256 + 6550257.

It is an arithmetic number, because the mean of its divisors is an integer number (6550257).

Almost surely, 2^13100513 is an apocalyptic number.

It is an amenable number.

13100513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13100513 is an equidigital number, since it uses as much as digits as its factorization.

13100513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 13100513 is about 3619.4630817291. The cubic root of 13100513 is about 235.7379128706.

Adding to 13100513 its reverse (31500131), we get a palindrome (44600644).

The spelling of 13100513 in words is "thirteen million, one hundred thousand, five hundred thirteen".