1100013201123 has 16 divisors (see below), whose sum is σ = 1468274688000. Its totient is φ = 732547203200.

The previous prime is 1100013201101. The next prime is 1100013201169. The reversal of 1100013201123 is 3211023100011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1100013201123 - 2⁶ = 1100013201059 is a prime.

It is a super-2 number, since 2×1100013201123² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1100013251123) 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, 17264278 + ... + 17327876.

It is an arithmetic number, because the mean of its divisors is an integer number (91767168000).

Almost surely, 2^{1100013201123} is an apocalyptic number.

1100013201123 is a deficient number, since it is larger than the sum of its proper divisors (368261486877).

1100013201123 is a wasteful number, since it uses less digits than its factorization.

1100013201123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69762.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1100013201123 its reverse (3211023100011), we get a palindrome (4311036301134).

The spelling of 1100013201123 in words is "one trillion, one hundred billion, thirteen million, two hundred one thousand, one hundred twenty-three".