3213002232133 has 2 divisors, whose sum is σ = 3213002232134. Its totient is φ = 3213002232132.

The previous prime is 3213002232131. The next prime is 3213002232137. The reversal of 3213002232133 is 3312322003123.

3213002232133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3140327777409 + 72674454724 = 1772097^2 + 269582^2 .

It is a cyclic number.

It is not a de Polignac number, because 3213002232133 - 2¹ = 3213002232131 is a prime.

Together with 3213002232131, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 3213002232098 and 3213002232107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3213002232131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1606501116066 + 1606501116067.

It is an arithmetic number, because the mean of its divisors is an integer number (1606501116067).

Almost surely, 2^{3213002232133} is an apocalyptic number.

It is an amenable number.

3213002232133 is a deficient number, since it is larger than the sum of its proper divisors (1).

3213002232133 is an equidigital number, since it uses as much as digits as its factorization.

3213002232133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 3213002232133 its reverse (3312322003123), we get a palindrome (6525324235256).

The spelling of 3213002232133 in words is "three trillion, two hundred thirteen billion, two million, two hundred thirty-two thousand, one hundred thirty-three".