3313212132321 has 72 divisors (see below), whose sum is σ = 6348003263784. Its totient is φ = 1644826659840.

The previous prime is 3313212132319. The next prime is 3313212132323. The reversal of 3313212132321 is 1232312123133.

3313212132321 is a `hidden beast` number, since 3 + 3 + 1 + 321 + 2 + 13 + 2 + 321 = 666.

It is an interprime number because it is at equal distance from previous prime (3313212132319) and next prime (3313212132323).

It can be written as a sum of positive squares in 4 ways, for example, as 649739172096 + 2663472960225 = 806064^2 + 1632015^2 .

It is not a de Polignac number, because 3313212132321 - 2¹ = 3313212132319 is a prime.

It is a super-2 number, since 2×3313212132321² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3313212132323) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16900170 + ... + 17095091.

It is an arithmetic number, because the mean of its divisors is an integer number (88166711997).

Almost surely, 2^{3313212132321} is an apocalyptic number.

It is an amenable number.

3313212132321 is a deficient number, since it is larger than the sum of its proper divisors (3034791131463).

3313212132321 is a wasteful number, since it uses less digits than its factorization.

3313212132321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33995311 (or 33995301 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 3313212132321 its reverse (1232312123133), we get a palindrome (4545524255454).

It can be divided in two parts, 331321 and 2132321, that added together give a palindrome (2463642).

The spelling of 3313212132321 in words is "three trillion, three hundred thirteen billion, two hundred twelve million, one hundred thirty-two thousand, three hundred twenty-one".