13833321082350 has 2304 divisors, whose sum is σ = 50558044078080. Its totient is φ = 2458062028800.

The previous prime is 13833321082327. The next prime is 13833321082429. The reversal of 13833321082350 is 5328012333831.

It is a happy number.

13833321082350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 108923787987 + ... + 108923788113.

It is an arithmetic number, because the mean of its divisors is an integer number (21943595520).

Almost surely, 2^{13833321082350} is an apocalyptic number.

13833321082350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13833321082350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25279022039040).

13833321082350 is an abundant number, since it is smaller than the sum of its proper divisors (36724722995730).

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

13833321082350 is a wasteful number, since it uses less digits than its factorization.

13833321082350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 13833321082350 in words is "thirteen trillion, eight hundred thirty-three billion, three hundred twenty-one million, eighty-two thousand, three hundred fifty".