3312312132133 has 2 divisors, whose sum is σ = 3312312132134. Its totient is φ = 3312312132132.

The previous prime is 3312312132127. The next prime is 3312312132169.

It is a happy number.

3312312132133 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2093094243009 + 1219217889124 = 1446753^2 + 1104182^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 3312312132133 - 2¹³ = 3312312123941 is a prime.

It is a super-2 number, since 2×3312312132133² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3312312132733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1656156066066 + 1656156066067.

It is an arithmetic number, because the mean of its divisors is an integer number (1656156066067).

Almost surely, 2^{3312312132133} is an apocalyptic number.

It is an amenable number.

3312312132133 is a deficient number, since it is larger than the sum of its proper divisors (1).

3312312132133 is an equidigital number, since it uses as much as digits as its factorization.

3312312132133 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 3312312132133 in words is "three trillion, three hundred twelve billion, three hundred twelve million, one hundred thirty-two thousand, one hundred thirty-three".