3331201002009 has 16 divisors (see below), whose sum is σ = 4585291021824. Its totient is φ = 2148968707200.

The previous prime is 3331201001993. The next prime is 3331201002061. The reversal of 3331201002009 is 9002001021333.

It is not a de Polignac number, because 3331201002009 - 2⁴ = 3331201001993 is a prime.

It is a super-2 number, since 2×3331201002009² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3331201002009.

It is not an unprimeable number, because it can be changed into a prime (3331201002079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566694 + ... + 2642639.

It is an arithmetic number, because the mean of its divisors is an integer number (286580688864).

Almost surely, 2^{3331201002009} is an apocalyptic number.

It is an amenable number.

3331201002009 is a deficient number, since it is larger than the sum of its proper divisors (1254090019815).

3331201002009 is a wasteful number, since it uses less digits than its factorization.

3331201002009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220528.

The product of its (nonzero) digits is 972, while the sum is 24.

The spelling of 3331201002009 in words is "three trillion, three hundred thirty-one billion, two hundred one million, two thousand, nine".