30013201023000 has 256 divisors, whose sum is σ = 102120876748800. Its totient is φ = 7294346841600.

The previous prime is 30013201022971. The next prime is 30013201023017. The reversal of 30013201023000 is 32010231003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1789692 + ... + 7951691.

It is an arithmetic number, because the mean of its divisors is an integer number (398909674800).

Almost surely, 2^{30013201023000} is an apocalyptic number.

30013201023000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30013201023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51060438374400).

30013201023000 is an abundant number, since it is smaller than the sum of its proper divisors (72107675725800).

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

30013201023000 is a wasteful number, since it uses less digits than its factorization.

30013201023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9741499 (or 9741485 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30013201023000 its reverse (32010231003), we get a palindrome (30045211254003).

The spelling of 30013201023000 in words is "thirty trillion, thirteen billion, two hundred one million, twenty-three thousand".