101103033031 has 96 divisors (see below), whose sum is σ = 140874840576. Its totient is φ = 70424640000.

The previous prime is 101103033019. The next prime is 101103033037. The reversal of 101103033031 is 130330301101.

It is not a de Polignac number, because 101103033031 - 2⁷ = 101103032903 is a prime.

It is a super-2 number, since 2×101103033031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101103032996 and 101103033014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101103033037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53183181 + ... + 53185081.

It is an arithmetic number, because the mean of its divisors is an integer number (1467446256).

Almost surely, 2^101103033031 is an apocalyptic number.

101103033031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101103033031 is a deficient number, since it is larger than the sum of its proper divisors (39771807545).

101103033031 is a wasteful number, since it uses less digits than its factorization.

101103033031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 101103033031 its reverse (130330301101), we get a palindrome (231433334132).

The spelling of 101103033031 in words is "one hundred one billion, one hundred three million, thirty-three thousand, thirty-one".