3113012002000 has 320 divisors, whose sum is σ = 8013987072000. Its totient is φ = 1167613440000.

The previous prime is 3113012001947. The next prime is 3113012002019. The reversal of 3113012002000 is 2002103113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 378753891 + ... + 378762109.

It is an arithmetic number, because the mean of its divisors is an integer number (25043709600).

Almost surely, 2^{3113012002000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113012002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006993536000).

3113012002000 is an abundant number, since it is smaller than the sum of its proper divisors (4900975070000).

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

3113012002000 is a wasteful number, since it uses less digits than its factorization.

3113012002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8463 (or 8447 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 3113012002000 its reverse (2002103113), we get a palindrome (3115014105113).

The spelling of 3113012002000 in words is "three trillion, one hundred thirteen billion, twelve million, two thousand".