30002113100000 has 576 divisors, whose sum is σ = 79778597842944. Its totient is φ = 11073216000000.

The previous prime is 30002113099999. The next prime is 30002113100143. The reversal of 30002113100000 is 131120003.

It is a super-2 number, since 2×30002113100000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35008299572 + ... + 35008300428.

It is an arithmetic number, because the mean of its divisors is an integer number (138504510144).

Almost surely, 2^{30002113100000} 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 30002113100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39889298921472).

30002113100000 is an abundant number, since it is smaller than the sum of its proper divisors (49776484742944).

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

30002113100000 is an equidigital number, since it uses as much as digits as its factorization.

30002113100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 30002113100000 its reverse (131120003), we get a palindrome (30002244220003).

The spelling of 30002113100000 in words is "thirty trillion, two billion, one hundred thirteen million, one hundred thousand".