2103331312033 has 12 divisors (see below), whose sum is σ = 2454450759252. Its totient is φ = 1797168156000.

The previous prime is 2103331312001. The next prime is 2103331312141. The reversal of 2103331312033 is 3302131333012.

It can be written as a sum of positive squares in 2 ways, for example, as 525752607744 + 1577578704289 = 725088^2 + 1256017^2 .

It is not a de Polignac number, because 2103331312033 - 2⁵ = 2103331312001 is a prime.

It is a super-2 number, since 2×2103331312033² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2103331311989 and 2103331312007.

It is not an unprimeable number, because it can be changed into a prime (2103301312033) 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 11 ways as a sum of consecutive naturals, for example, 67689718 + ... + 67720783.

It is an arithmetic number, because the mean of its divisors is an integer number (204537563271).

Almost surely, 2^{2103331312033} is an apocalyptic number.

It is an amenable number.

2103331312033 is a deficient number, since it is larger than the sum of its proper divisors (351119447219).

2103331312033 is a wasteful number, since it uses less digits than its factorization.

2103331312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135410832 (or 135410825 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 2103331312033 its reverse (3302131333012), we get a palindrome (5405462645045).

The spelling of 2103331312033 in words is "two trillion, one hundred three billion, three hundred thirty-one million, three hundred twelve thousand, thirty-three".