30013101023232 has 224 divisors, whose sum is σ = 80700091242624. Its totient is φ = 9920839680000.

The previous prime is 30013101023219. The next prime is 30013101023233. The reversal of 30013101023232 is 23232010131003.

It is a junction number, because it is equal to n+sod(n) for n = 30013101023199 and 30013101023208.

It is not an unprimeable number, because it can be changed into a prime (30013101023233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2230289848 + ... + 2230303304.

It is an arithmetic number, because the mean of its divisors is an integer number (360268264476).

Almost surely, 2^{30013101023232} is an apocalyptic number.

30013101023232 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 30013101023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40350045621312).

30013101023232 is an abundant number, since it is smaller than the sum of its proper divisors (50686990219392).

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

30013101023232 is a wasteful number, since it uses less digits than its factorization.

30013101023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14238 (or 14214 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 30013101023232 its reverse (23232010131003), we get a palindrome (53245111154235).

The spelling of 30013101023232 in words is "thirty trillion, thirteen billion, one hundred one million, twenty-three thousand, two hundred thirty-two".