1101100331123 has 16 divisors (see below), whose sum is σ = 1193797453632. Its totient is φ = 1009547280000.

The previous prime is 1101100331101. The next prime is 1101100331141. The reversal of 1101100331123 is 3211330011011.

It is a cyclic number.

It is not a de Polignac number, because 1101100331123 - 2¹² = 1101100327027 is a prime.

It is a super-2 number, since 2×1101100331123² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101100331183) 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, 18935513 + ... + 18993573.

It is an arithmetic number, because the mean of its divisors is an integer number (74612340852).

Almost surely, 2^{1101100331123} is an apocalyptic number.

1101100331123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1101100331123 is a deficient number, since it is larger than the sum of its proper divisors (92697122509).

1101100331123 is a wasteful number, since it uses less digits than its factorization.

1101100331123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67886.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1101100331123 its reverse (3211330011011), we get a palindrome (4312430342134).

The spelling of 1101100331123 in words is "one trillion, one hundred one billion, one hundred million, three hundred thirty-one thousand, one hundred twenty-three".