3001313002000 has 80 divisors (see below), whose sum is σ = 7338716564400. Its totient is φ = 1187036083200.

The previous prime is 3001313001983. The next prime is 3001313002031. The reversal of 3001313002000 is 2003131003.

It can be written as a sum of positive squares in 8 ways, for example, as 2517781909504 + 483531092496 = 1586752^2 + 695364^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8252655 + ... + 8608654.

It is an arithmetic number, because the mean of its divisors is an integer number (91733957055).

Almost surely, 2^{3001313002000} is an apocalyptic number.

It is an amenable number.

3001313002000 is an abundant number, since it is smaller than the sum of its proper divisors (4337403562400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3001313002000 is a wasteful number, since it uses less digits than its factorization.

3001313002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16861421 (or 16861405 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 3001313002000 its reverse (2003131003), we get a palindrome (3003316133003).

The spelling of 3001313002000 in words is "three trillion, one billion, three hundred thirteen million, two thousand".