3313122132133 has 16 divisors (see below), whose sum is σ = 3725696782080. Its totient is φ = 2919711873600.

The previous prime is 3313122132091. The next prime is 3313122132137. The reversal of 3313122132133 is 3312312213133.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 3313122132133 - 2²¹ = 3313120034981 is a prime.

It is a super-2 number, since 2×3313122132133² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313122132137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14908798 + ... + 15129391.

It is an arithmetic number, because the mean of its divisors is an integer number (232856048880).

Almost surely, 2^{3313122132133} is an apocalyptic number.

It is an amenable number.

3313122132133 is a deficient number, since it is larger than the sum of its proper divisors (412574649947).

3313122132133 is a wasteful number, since it uses less digits than its factorization.

3313122132133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30038508.

The product of its digits is 5832, while the sum is 28.

Adding to 3313122132133 its reverse (3312312213133), we get a palindrome (6625434345266).

It can be divided in two parts, 33131 and 22132133, that added together give a square (22165264 = 4708²).

The spelling of 3313122132133 in words is "three trillion, three hundred thirteen billion, one hundred twenty-two million, one hundred thirty-two thousand, one hundred thirty-three".