13011330111093 has 48 divisors (see below), whose sum is σ = 19381558310400. Its totient is φ = 8406433500192.

The previous prime is 13011330111083. The next prime is 13011330111103. The reversal of 13011330111093 is 39011103311031.

13011330111093 is a `hidden beast` number, since 1 + 301 + 1 + 330 + 11 + 10 + 9 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (13011330111083) and next prime (13011330111103).

It is not a de Polignac number, because 13011330111093 - 2¹⁸ = 13011329848949 is a prime.

It is a super-2 number, since 2×13011330111093² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011330111083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37613346 + ... + 37957692.

It is an arithmetic number, because the mean of its divisors is an integer number (403782464800).

Almost surely, 2^{13011330111093} is an apocalyptic number.

It is an amenable number.

13011330111093 is a deficient number, since it is larger than the sum of its proper divisors (6370228199307).

13011330111093 is a wasteful number, since it uses less digits than its factorization.

13011330111093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345158 (or 345155 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The spelling of 13011330111093 in words is "thirteen trillion, eleven billion, three hundred thirty million, one hundred eleven thousand, ninety-three".