1103031101133 has 24 divisors (see below), whose sum is σ = 1718246351640. Its totient is φ = 677830930560.

The previous prime is 1103031101093. The next prime is 1103031101153. The reversal of 1103031101133 is 3311011303011.

It can be written as a sum of positive squares in 4 ways, for example, as 12086363844 + 1090944737289 = 109938^2 + 1044483^2 .

It is not a de Polignac number, because 1103031101133 - 2²⁵ = 1102997546701 is a prime.

It is a super-2 number, since 2×1103031101133² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103031101153) 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 23 ways as a sum of consecutive naturals, for example, 6565578 + ... + 6731483.

It is an arithmetic number, because the mean of its divisors is an integer number (71593597985).

Almost surely, 2^{1103031101133} is an apocalyptic number.

1103031101133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1103031101133 is a deficient number, since it is larger than the sum of its proper divisors (615215250507).

1103031101133 is a wasteful number, since it uses less digits than its factorization.

1103031101133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13297789 (or 13297786 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1103031101133 its reverse (3311011303011), we get a palindrome (4414042404144).

The spelling of 1103031101133 in words is "one trillion, one hundred three billion, thirty-one million, one hundred one thousand, one hundred thirty-three".