11110388513133 has 24 divisors (see below), whose sum is σ = 18558011585568. Its totient is φ = 5860424709216.

The previous prime is 11110388513083. The next prime is 11110388513137. The reversal of 11110388513133 is 33131588301111.

It is not a de Polignac number, because 11110388513133 - 2³⁰ = 11109314771309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 11110388513091 and 11110388513100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110388513137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2906954791 + ... + 2906958612.

It is an arithmetic number, because the mean of its divisors is an integer number (773250482732).

Almost surely, 2^{11110388513133} is an apocalyptic number.

11110388513133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11110388513133 is a deficient number, since it is larger than the sum of its proper divisors (7447623072435).

11110388513133 is a wasteful number, since it uses less digits than its factorization.

11110388513133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5813913433 (or 5813913426 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 11110388513133 in words is "eleven trillion, one hundred ten billion, three hundred eighty-eight million, five hundred thirteen thousand, one hundred thirty-three".