1100040445031 has 16 divisors (see below), whose sum is σ = 1242586634400. Its totient is φ = 964649212800.

The previous prime is 1100040445019. The next prime is 1100040445067. The reversal of 1100040445031 is 1305440400011.

It is a cyclic number.

It is not a de Polignac number, because 1100040445031 - 2³⁴ = 1082860575847 is a prime.

It is a super-2 number, since 2×1100040445031² (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 = 1100040444988 and 1100040445006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100040435031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1271900 + ... + 1953921.

It is an arithmetic number, because the mean of its divisors is an integer number (77661664650).

Almost surely, 2^{1100040445031} is an apocalyptic number.

1100040445031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100040445031 is a deficient number, since it is larger than the sum of its proper divisors (142546189369).

1100040445031 is a wasteful number, since it uses less digits than its factorization.

1100040445031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226930.

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 1100040445031 its reverse (1305440400011), we get a palindrome (2405480845042).

The spelling of 1100040445031 in words is "one trillion, one hundred billion, forty million, four hundred forty-five thousand, thirty-one".