13330012312417 has 2 divisors, whose sum is σ = 13330012312418. Its totient is φ = 13330012312416.

The previous prime is 13330012312291. The next prime is 13330012312499. The reversal of 13330012312417 is 71421321003331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11915758590241 + 1414253722176 = 3451921^2 + 1189224^2 .

It is a cyclic number.

It is not a de Polignac number, because 13330012312417 - 2⁷ = 13330012312289 is a prime.

It is a super-2 number, since 2×13330012312417² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13330012316417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665006156208 + 6665006156209.

It is an arithmetic number, because the mean of its divisors is an integer number (6665006156209).

Almost surely, 2^{13330012312417} is an apocalyptic number.

It is an amenable number.

13330012312417 is a deficient number, since it is larger than the sum of its proper divisors (1).

13330012312417 is an equidigital number, since it uses as much as digits as its factorization.

13330012312417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 31.

Adding to 13330012312417 its reverse (71421321003331), we get a palindrome (84751333315748).

The spelling of 13330012312417 in words is "thirteen trillion, three hundred thirty billion, twelve million, three hundred twelve thousand, four hundred seventeen".