103313203220322 has 128 divisors (see below), whose sum is σ = 234884068531200. Its totient is φ = 33651326966400.

The previous prime is 103313203220287. The next prime is 103313203220327. The reversal of 103313203220322 is 223022302313301.

103313203220322 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 13 + 2 + 0 + 322 + 0 + 322 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (103313203220327) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1222295422 + ... + 1222379942.

It is an arithmetic number, because the mean of its divisors is an integer number (1835031785400).

Almost surely, 2^{103313203220322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103313203220322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117442034265600).

103313203220322 is an abundant number, since it is smaller than the sum of its proper divisors (131570865310878).

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

103313203220322 is a wasteful number, since it uses less digits than its factorization.

103313203220322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87309 (or 87303 counting only the distinct ones).

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

Adding to 103313203220322 its reverse (223022302313301), we get a palindrome (326335505533623).

The spelling of 103313203220322 in words is "one hundred three trillion, three hundred thirteen billion, two hundred three million, two hundred twenty thousand, three hundred twenty-two".