1100111111031 has 16 divisors (see below), whose sum is σ = 1470841259360. Its totient is φ = 731394437760.

The previous prime is 1100111111017. The next prime is 1100111111041. The reversal of 1100111111031 is 1301111110011.

It is not a de Polignac number, because 1100111111031 - 2¹⁴ = 1100111094647 is a prime.

It is a super-2 number, since 2×1100111111031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100111110998 and 1100111111016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100111111041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33138261 + ... + 33171441.

It is an arithmetic number, because the mean of its divisors is an integer number (91927578710).

Almost surely, 2^{1100111111031} is an apocalyptic number.

1100111111031 is a deficient number, since it is larger than the sum of its proper divisors (370730148329).

1100111111031 is a wasteful number, since it uses less digits than its factorization.

1100111111031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63186.

The product of its (nonzero) digits is 3, while the sum is 12.

Adding to 1100111111031 its reverse (1301111110011), we get a palindrome (2401222221042).

The spelling of 1100111111031 in words is "one trillion, one hundred billion, one hundred eleven million, one hundred eleven thousand, thirty-one".