110013110311 has 16 divisors (see below), whose sum is σ = 119141717184. Its totient is φ = 100981131264.

The previous prime is 110013110303. The next prime is 110013110329. The reversal of 110013110311 is 113011310011.

It is not a de Polignac number, because 110013110311 - 2³ = 110013110303 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110013110291 and 110013110300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110013110371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1780935 + ... + 1841671.

It is an arithmetic number, because the mean of its divisors is an integer number (7446357324).

Almost surely, 2^110013110311 is an apocalyptic number.

110013110311 is a deficient number, since it is larger than the sum of its proper divisors (9128606873).

110013110311 is a wasteful number, since it uses less digits than its factorization.

110013110311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61530.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 110013110311 its reverse (113011310011), we get a palindrome (223024420322).

The spelling of 110013110311 in words is "one hundred ten billion, thirteen million, one hundred ten thousand, three hundred eleven".