103313201133232 has 80 divisors (see below), whose sum is σ = 210699612576000. Its totient is φ = 49002472012032.

The previous prime is 103313201133229. The next prime is 103313201133343. The reversal of 103313201133232 is 232331102313301.

It is a happy number.

It is a super-4 number, since 4×103313201133232⁴ (a number of 57 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103313201133232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47753119 + ... + 49869697.

It is an arithmetic number, because the mean of its divisors is an integer number (2633745157200).

Almost surely, 2^{103313201133232} 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 103313201133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105349806288000).

103313201133232 is an abundant number, since it is smaller than the sum of its proper divisors (107386411442768).

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

103313201133232 is a wasteful number, since it uses less digits than its factorization.

103313201133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118458 (or 2118452 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 103313201133232 its reverse (232331102313301), we get a palindrome (335644303446533).

The spelling of 103313201133232 in words is "one hundred three trillion, three hundred thirteen billion, two hundred one million, one hundred thirty-three thousand, two hundred thirty-two".