13031002033 has 6 divisors (see below), whose sum is σ = 15158512626. Its totient is φ = 11169430272.

The previous prime is 13031001983. The next prime is 13031002051. The reversal of 13031002033 is 33020013031.

13031002033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11026470049 + 2004531984 = 105007^2 + 44772^2 .

It is not a de Polignac number, because 13031002033 - 2³³ = 4441067441 is a prime.

It is a super-3 number, since 3×13031002033³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13031001998 and 13031002016.

It is not an unprimeable number, because it can be changed into a prime (13031003033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132969360 + ... + 132969457.

It is an arithmetic number, because the mean of its divisors is an integer number (2526418771).

Almost surely, 2^13031002033 is an apocalyptic number.

It is an amenable number.

13031002033 is a deficient number, since it is larger than the sum of its proper divisors (2127510593).

13031002033 is an equidigital number, since it uses as much as digits as its factorization.

13031002033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265938831 (or 265938824 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13031002033 its reverse (33020013031), we get a palindrome (46051015064).

The spelling of 13031002033 in words is "thirteen billion, thirty-one million, two thousand, thirty-three".