30333135540000 has 480 divisors, whose sum is σ = 103956640026624. Its totient is φ = 7727322240000.

The previous prime is 30333135539963. The next prime is 30333135540053. The reversal of 30333135540000 is 4553133303.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×30333135540000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 30333135540000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1119166449 + ... + 1119193551.

Almost surely, 2^{30333135540000} is an apocalyptic number.

30333135540000 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 30333135540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51978320013312).

30333135540000 is an abundant number, since it is smaller than the sum of its proper divisors (73623504486624).

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

30333135540000 is a wasteful number, since it uses less digits than its factorization.

30333135540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27970 (or 27947 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 30.

Adding to 30333135540000 its reverse (4553133303), we get a palindrome (30337688673303).

The spelling of 30333135540000 in words is "thirty trillion, three hundred thirty-three billion, one hundred thirty-five million, five hundred forty thousand".