30213313103232 has 384 divisors, whose sum is σ = 103130445600000. Its totient is φ = 8624992389120.

The previous prime is 30213313103231. The next prime is 30213313103273. The reversal of 30213313103232 is 23230131331203.

30213313103232 is a `hidden beast` number, since 3 + 0 + 2 + 1 + 331 + 3 + 1 + 0 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30213313103196 and 30213313103205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30213313103231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257078019 + ... + 257195517.

It is an arithmetic number, because the mean of its divisors is an integer number (268568868750).

Almost surely, 2^{30213313103232} is an apocalyptic number.

30213313103232 is a gapful number since it is divisible by the number (32) 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 30213313103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51565222800000).

30213313103232 is an abundant number, since it is smaller than the sum of its proper divisors (72917132496768).

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

30213313103232 is a wasteful number, since it uses less digits than its factorization.

30213313103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118716 (or 118692 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 30213313103232 its reverse (23230131331203), we get a palindrome (53443444434435).

The spelling of 30213313103232 in words is "thirty trillion, two hundred thirteen billion, three hundred thirteen million, one hundred three thousand, two hundred thirty-two".