110011121311 has 16 divisors (see below), whose sum is σ = 135536998464. Its totient is φ = 86952605184.

The previous prime is 110011121279. The next prime is 110011121357. The reversal of 110011121311 is 113121110011.

It is a cyclic number.

It is not a de Polignac number, because 110011121311 - 2⁵ = 110011121279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 110011121291 and 110011121300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110011121371) 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 15 ways as a sum of consecutive naturals, for example, 529780 + ... + 707593.

It is an arithmetic number, because the mean of its divisors is an integer number (8471062404).

Almost surely, 2^110011121311 is an apocalyptic number.

110011121311 is a deficient number, since it is larger than the sum of its proper divisors (25525877153).

110011121311 is a wasteful number, since it uses less digits than its factorization.

110011121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238370.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 110011121311 its reverse (113121110011), we get a palindrome (223132231322).

The spelling of 110011121311 in words is "one hundred ten billion, eleven million, one hundred twenty-one thousand, three hundred eleven".