13083375829889 has 2 divisors, whose sum is σ = 13083375829890. Its totient is φ = 13083375829888.

The previous prime is 13083375829877. The next prime is 13083375829921. The reversal of 13083375829889 is 98892857338031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7558210608400 + 5525165221489 = 2749220^2 + 2350567^2 .

It is an emirp because it is prime and its reverse (98892857338031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13083375829889 - 2²⁰ = 13083374781313 is a prime.

It is a super-2 number, since 2×13083375829889² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13083375829189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6541687914944 + 6541687914945.

It is an arithmetic number, because the mean of its divisors is an integer number (6541687914945).

Almost surely, 2^{13083375829889} is an apocalyptic number.

It is an amenable number.

13083375829889 is a deficient number, since it is larger than the sum of its proper divisors (1).

13083375829889 is an equidigital number, since it uses as much as digits as its factorization.

13083375829889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 627056640, while the sum is 74.

The spelling of 13083375829889 in words is "thirteen trillion, eighty-three billion, three hundred seventy-five million, eight hundred twenty-nine thousand, eight hundred eighty-nine".