103313202002032 has 80 divisors (see below), whose sum is σ = 219123818928000. Its totient is φ = 46797852568320.

The previous prime is 103313202002029. The next prime is 103313202002033. The reversal of 103313202002032 is 230200202313301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 103313202001994 and 103313202002012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313202002033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101889319 + ... + 102898297.

It is an arithmetic number, because the mean of its divisors is an integer number (2739047736600).

Almost surely, 2^{103313202002032} 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 103313202002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109561909464000).

103313202002032 is an abundant number, since it is smaller than the sum of its proper divisors (115810616925968).

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

103313202002032 is a wasteful number, since it uses less digits than its factorization.

103313202002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011014 (or 1011008 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 103313202002032 its reverse (230200202313301), we get a palindrome (333513404315333).

The spelling of 103313202002032 in words is "one hundred three trillion, three hundred thirteen billion, two hundred two million, two thousand, thirty-two".