3213121010333 has 12 divisors (see below), whose sum is σ = 3479498634420. Its totient is φ = 2965785728256.

The previous prime is 3213121010329. The next prime is 3213121010377. The reversal of 3213121010333 is 3330101213123.

It can be written as a sum of positive squares in 6 ways, for example, as 1064439968089 + 2148681042244 = 1031717^2 + 1465838^2 .

It is not a de Polignac number, because 3213121010333 - 2² = 3213121010329 is a prime.

It is a super-3 number, since 3×3213121010333³ (a number of 38 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 = 3213121010299 and 3213121010308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213121000333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2416085 + ... + 3501957.

It is an arithmetic number, because the mean of its divisors is an integer number (289958219535).

Almost surely, 2^{3213121010333} is an apocalyptic number.

It is an amenable number.

3213121010333 is a deficient number, since it is larger than the sum of its proper divisors (266377624087).

3213121010333 is a wasteful number, since it uses less digits than its factorization.

3213121010333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103408 (or 1103395 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 3213121010333 its reverse (3330101213123), we get a palindrome (6543222223456).

The spelling of 3213121010333 in words is "three trillion, two hundred thirteen billion, one hundred twenty-one million, ten thousand, three hundred thirty-three".