3121223213133 has 6 divisors (see below), whose sum is σ = 4508433530094. Its totient is φ = 2080815475416.

The previous prime is 3121223213071. The next prime is 3121223213153. The reversal of 3121223213133 is 3313123221213.

3121223213133 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 22 + 321 + 313 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2279897664489 + 841325548644 = 1509933^2 + 917238^2 .

It is not a de Polignac number, because 3121223213133 - 2²¹ = 3121221115981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3121223213097 and 3121223213106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121223213153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173401289610 + ... + 173401289627.

It is an arithmetic number, because the mean of its divisors is an integer number (751405588349).

Almost surely, 2^{3121223213133} is an apocalyptic number.

It is an amenable number.

3121223213133 is a deficient number, since it is larger than the sum of its proper divisors (1387210316961).

3121223213133 is a wasteful number, since it uses less digits than its factorization.

3121223213133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346802579243 (or 346802579240 counting only the distinct ones).

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

Adding to 3121223213133 its reverse (3313123221213), we get a palindrome (6434346434346).

The spelling of 3121223213133 in words is "three trillion, one hundred twenty-one billion, two hundred twenty-three million, two hundred thirteen thousand, one hundred thirty-three".