3320134310233 has 128 divisors (see below), whose sum is σ = 3968837429760. Its totient is φ = 2750157619200.

The previous prime is 3320134310177. The next prime is 3320134310243.

3320134310233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3320134310233 - 2¹⁷ = 3320134179161 is a prime.

It is a super-2 number, since 2×3320134310233² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3320134310243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23885858278 + ... + 23885858416.

It is an arithmetic number, because the mean of its divisors is an integer number (31006542420).

Almost surely, 2^{3320134310233} is an apocalyptic number.

It is an amenable number.

3320134310233 is a deficient number, since it is larger than the sum of its proper divisors (648703119527).

3320134310233 is a wasteful number, since it uses less digits than its factorization.

3320134310233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587.

The product of its (nonzero) digits is 11664, while the sum is 28.

The spelling of 3320134310233 in words is "three trillion, three hundred twenty billion, one hundred thirty-four million, three hundred ten thousand, two hundred thirty-three".