13385936916975 has 96 divisors (see below), whose sum is σ = 25392954746880. Its totient is φ = 6095124771840.

The previous prime is 13385936916973. The next prime is 13385936916977. The reversal of 13385936916975 is 57961963958331.

It is an interprime number because it is at equal distance from previous prime (13385936916973) and next prime (13385936916977).

It is not a de Polignac number, because 13385936916975 - 2¹ = 13385936916973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a junction number, because it is equal to n+sod(n) for n = 13385936916897 and 13385936916906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13385936916973) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 833643147 + ... + 833659203.

It is an arithmetic number, because the mean of its divisors is an integer number (264509945280).

Almost surely, 2^{13385936916975} is an apocalyptic number.

13385936916975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13385936916975 is a deficient number, since it is larger than the sum of its proper divisors (12007017829905).

13385936916975 is a wasteful number, since it uses less digits than its factorization.

13385936916975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22249 (or 22244 counting only the distinct ones).

The product of its digits is 992023200, while the sum is 75.

The spelling of 13385936916975 in words is "thirteen trillion, three hundred eighty-five billion, nine hundred thirty-six million, nine hundred sixteen thousand, nine hundred seventy-five".