33311002212133 has 2 divisors, whose sum is σ = 33311002212134. Its totient is φ = 33311002212132.

The previous prime is 33311002212119. The next prime is 33311002212139. The reversal of 33311002212133 is 33121220011333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32020908324804 + 1290093887329 = 5658702^2 + 1135823^2 .

It is a cyclic number.

It is not a de Polignac number, because 33311002212133 - 2⁹ = 33311002211621 is a prime.

It is a super-2 number, since 2×33311002212133² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33311002212098 and 33311002212107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33311002212139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16655501106066 + 16655501106067.

It is an arithmetic number, because the mean of its divisors is an integer number (16655501106067).

Almost surely, 2^{33311002212133} is an apocalyptic number.

It is an amenable number.

33311002212133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33311002212133 is an equidigital number, since it uses as much as digits as its factorization.

33311002212133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 33311002212133 its reverse (33121220011333), we get a palindrome (66432222223466).

The spelling of 33311002212133 in words is "thirty-three trillion, three hundred eleven billion, two million, two hundred twelve thousand, one hundred thirty-three".