13101324110393 has 2 divisors, whose sum is σ = 13101324110394. Its totient is φ = 13101324110392.

The previous prime is 13101324110291. The next prime is 13101324110467. The reversal of 13101324110393 is 39301142310131.

13101324110393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10227766855744 + 2873557254649 = 3198088^2 + 1695157^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101324110393 - 2⁸ = 13101324110137 is a prime.

It is a super-2 number, since 2×13101324110393² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13101324110993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550662055196 + 6550662055197.

It is an arithmetic number, because the mean of its divisors is an integer number (6550662055197).

Almost surely, 2^{13101324110393} is an apocalyptic number.

It is an amenable number.

13101324110393 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101324110393 is an equidigital number, since it uses as much as digits as its factorization.

13101324110393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 32.

The spelling of 13101324110393 in words is "thirteen trillion, one hundred one billion, three hundred twenty-four million, one hundred ten thousand, three hundred ninety-three".