30013013310000 has 1200 divisors, whose sum is σ = 114401498002176. Its totient is φ = 6638740992000.

The previous prime is 30013013309969. The next prime is 30013013310011. The reversal of 30013013310000 is 1331031003.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×30013013310000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 48960869694 + ... + 48960870306.

Almost surely, 2^{30013013310000} is an apocalyptic number.

30013013310000 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 30013013310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57200749001088).

30013013310000 is an abundant number, since it is smaller than the sum of its proper divisors (84388484692176).

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

30013013310000 is an equidigital number, since it uses as much as digits as its factorization.

30013013310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 30013013310000 its reverse (1331031003), we get a palindrome (30014344341003).

The spelling of 30013013310000 in words is "thirty trillion, thirteen billion, thirteen million, three hundred ten thousand".