103033300031 has 32 divisors (see below), whose sum is σ = 110534215680. Its totient is φ = 95814994176.

The previous prime is 103033299911. The next prime is 103033300033. The reversal of 103033300031 is 130003330301.

It is a de Polignac number, because none of the positive numbers 2^k-103033300031 is a prime.

It is a super-3 number, since 3×103033300031³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103033299982 and 103033300009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103033300033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175524920 + ... + 175525506.

It is an arithmetic number, because the mean of its divisors is an integer number (3454194240).

Almost surely, 2^103033300031 is an apocalyptic number.

103033300031 is a deficient number, since it is larger than the sum of its proper divisors (7500915649).

103033300031 is a wasteful number, since it uses less digits than its factorization.

103033300031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463.

The product of its (nonzero) digits is 243, while the sum is 17.

Adding to 103033300031 its reverse (130003330301), we get a palindrome (233036630332).

The spelling of 103033300031 in words is "one hundred three billion, thirty-three million, three hundred thousand, thirty-one".