103332232012320 has 768 divisors, whose sum is σ = 393806135923200. Its totient is φ = 25200112435200.

The previous prime is 103332232012241. The next prime is 103332232012349. The reversal of 103332232012320 is 23210232233301.

103332232012320 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 3 + 2 + 2 + 320 + 12 + 320 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2089563595 + ... + 2089613045.

It is an arithmetic number, because the mean of its divisors is an integer number (512768406150).

Almost surely, 2^{103332232012320} is an apocalyptic number.

103332232012320 is a gapful number since it is divisible by the number (10) 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 103332232012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196903067961600).

103332232012320 is an abundant number, since it is smaller than the sum of its proper divisors (290473903910880).

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

103332232012320 is a wasteful number, since it uses less digits than its factorization.

103332232012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50298 (or 50284 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 103332232012320 its reverse (23210232233301), we get a palindrome (126542464245621).

The spelling of 103332232012320 in words is "one hundred three trillion, three hundred thirty-two billion, two hundred thirty-two million, twelve thousand, three hundred twenty".