30001341010032 has 480 divisors, whose sum is σ = 105056601661440. Its totient is φ = 7794095063040.

The previous prime is 30001341010013. The next prime is 30001341010037. The reversal of 30001341010032 is 23001014310003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30001341009987 and 30001341010014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30001341010037) 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 95 ways as a sum of consecutive naturals, for example, 314963469 + ... + 315058707.

It is an arithmetic number, because the mean of its divisors is an integer number (218867920128).

Almost surely, 2^{30001341010032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30001341010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52528300830720).

30001341010032 is an abundant number, since it is smaller than the sum of its proper divisors (75055260651408).

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

30001341010032 is a wasteful number, since it uses less digits than its factorization.

30001341010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95901 (or 95892 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30001341010032 its reverse (23001014310003), we get a palindrome (53002355320035).

The spelling of 30001341010032 in words is "thirty trillion, one billion, three hundred forty-one million, ten thousand, thirty-two".