3002113114000 has 640 divisors, whose sum is σ = 9821755367424. Its totient is φ = 857076480000.

The previous prime is 3002113113983. The next prime is 3002113114019. The reversal of 3002113114000 is 4113112003.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 262256277 + ... + 262267723.

Almost surely, 2^{3002113114000} 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 3002113114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910877683712).

3002113114000 is an abundant number, since it is smaller than the sum of its proper divisors (6819642253424).

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

3002113114000 is a wasteful number, since it uses less digits than its factorization.

3002113114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11632 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 3002113114000 its reverse (4113112003), we get a palindrome (3006226226003).

It can be divided in two parts, 3002113 and 114000, that added together give a palindrome (3116113).

The spelling of 3002113114000 in words is "three trillion, two billion, one hundred thirteen million, one hundred fourteen thousand".