1103103032031 has 80 divisors (see below), whose sum is σ = 2212491714048. Its totient is φ = 528960456000.

The previous prime is 1103103031957. The next prime is 1103103032063. The reversal of 1103103032031 is 1302303013011.

It is a happy number.

1103103032031 is a `hidden beast` number, since 1 + 1 + 0 + 310 + 3 + 0 + 320 + 31 = 666.

It is not a de Polignac number, because 1103103032031 - 2¹⁵ = 1103102999263 is a prime.

It is a super-2 number, since 2×1103103032031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1103103031995 and 1103103032013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103103032431) 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 79 ways as a sum of consecutive naturals, for example, 6721395 + ... + 6883556.

Almost surely, 2^{1103103032031} is an apocalyptic number.

1103103032031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1103103032031 is an abundant number, since it is smaller than the sum of its proper divisors (1109388682017).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1103103032031 is a wasteful number, since it uses less digits than its factorization.

1103103032031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13604994 (or 13604985 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1103103032031 its reverse (1302303013011), we get a palindrome (2405406045042).

The spelling of 1103103032031 in words is "one trillion, one hundred three billion, one hundred three million, thirty-two thousand, thirty-one".