13300333032032 has 96 divisors (see below), whose sum is σ = 27851425560000. Its totient is φ = 6230573826048.

The previous prime is 13300333032013. The next prime is 13300333032067. The reversal of 13300333032032 is 23023033300331.

It is a junction number, because it is equal to n+sod(n) for n = 13300333031992 and 13300333032010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113665268 + ... + 113782220.

It is an arithmetic number, because the mean of its divisors is an integer number (290119016250).

Almost surely, 2^{13300333032032} 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 13300333032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13925712780000).

13300333032032 is an abundant number, since it is smaller than the sum of its proper divisors (14551092527968).

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

13300333032032 is a wasteful number, since it uses less digits than its factorization.

13300333032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117928 (or 117920 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 26.

Adding to 13300333032032 its reverse (23023033300331), we get a palindrome (36323366332363).

The spelling of 13300333032032 in words is "thirteen trillion, three hundred billion, three hundred thirty-three million, thirty-two thousand, thirty-two".