1100013031121 has 16 divisors (see below), whose sum is σ = 1156680290304. Its totient is φ = 1044110405184.

The previous prime is 1100013031097. The next prime is 1100013031133. The reversal of 1100013031121 is 1211303100011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1100013031121 - 2³⁴ = 1082833161937 is a prime.

It is a super-2 number, since 2×1100013031121² (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 = 1100013031096 and 1100013031105.

It is not an unprimeable number, because it can be changed into a prime (1100013031321) 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, 1418435 + ... + 2052311.

It is an arithmetic number, because the mean of its divisors is an integer number (72292518144).

Almost surely, 2^{1100013031121} is an apocalyptic number.

It is an amenable number.

1100013031121 is a deficient number, since it is larger than the sum of its proper divisors (56667259183).

1100013031121 is a wasteful number, since it uses less digits than its factorization.

1100013031121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634480.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1100013031121 its reverse (1211303100011), we get a palindrome (2311316131132).

The spelling of 1100013031121 in words is "one trillion, one hundred billion, thirteen million, thirty-one thousand, one hundred twenty-one".