13098538764577 has 32 divisors (see below), whose sum is σ = 16093497139200. Its totient is φ = 10411251781248.

The previous prime is 13098538764559. The next prime is 13098538764593. The reversal of 13098538764577 is 77546783589031.

It is a cyclic number.

It is not a de Polignac number, because 13098538764577 - 2³⁵ = 13064179026209 is a prime.

It is a super-3 number, since 3×13098538764577³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13098538764977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1753713 + ... + 5410414.

It is an arithmetic number, because the mean of its divisors is an integer number (502921785600).

Almost surely, 2^{13098538764577} is an apocalyptic number.

It is an amenable number.

13098538764577 is a deficient number, since it is larger than the sum of its proper divisors (2994958374623).

13098538764577 is a wasteful number, since it uses less digits than its factorization.

13098538764577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7164445.

The product of its (nonzero) digits is 1066867200, while the sum is 73.

The spelling of 13098538764577 in words is "thirteen trillion, ninety-eight billion, five hundred thirty-eight million, seven hundred sixty-four thousand, five hundred seventy-seven".