13413015010117 has 2 divisors, whose sum is σ = 13413015010118. Its totient is φ = 13413015010116.

The previous prime is 13413015010097. The next prime is 13413015010127. The reversal of 13413015010117 is 71101051031431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13252759708356 + 160255301761 = 3640434^2 + 400319^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13413015010117 is a prime.

It is a super-2 number, since 2×13413015010117² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13413015010127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6706507505058 + 6706507505059.

It is an arithmetic number, because the mean of its divisors is an integer number (6706507505059).

Almost surely, 2^{13413015010117} is an apocalyptic number.

It is an amenable number.

13413015010117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13413015010117 is an equidigital number, since it uses as much as digits as its factorization.

13413015010117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 28.

Adding to 13413015010117 its reverse (71101051031431), we get a palindrome (84514066041548).

The spelling of 13413015010117 in words is "thirteen trillion, four hundred thirteen billion, fifteen million, ten thousand, one hundred seventeen".