3333307313007 has 48 divisors (see below), whose sum is σ = 5692865518080. Its totient is φ = 1838898734400.

The previous prime is 3333307312961. The next prime is 3333307313023. The reversal of 3333307313007 is 7003137033333.

3333307313007 is a `hidden beast` number, since 3 + 3 + 3 + 330 + 7 + 313 + 0 + 0 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-3333307313007 is a prime.

It is a super-2 number, since 2×3333307313007² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3333307313087) 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 47 ways as a sum of consecutive naturals, for example, 21538132 + ... + 21692342.

It is an arithmetic number, because the mean of its divisors is an integer number (118601364960).

Almost surely, 2^{3333307313007} is an apocalyptic number.

3333307313007 is a deficient number, since it is larger than the sum of its proper divisors (2359558205073).

3333307313007 is a wasteful number, since it uses less digits than its factorization.

3333307313007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166084 (or 166081 counting only the distinct ones).

The product of its (nonzero) digits is 107163, while the sum is 36.

The spelling of 3333307313007 in words is "three trillion, three hundred thirty-three billion, three hundred seven million, three hundred thirteen thousand, seven".