103300031002200 has 192 divisors, whose sum is σ = 320506989989760. Its totient is φ = 27522863646720.

The previous prime is 103300031002151. The next prime is 103300031002253. The reversal of 103300031002200 is 2200130003301.

It is a super-2 number, since 2×103300031002200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103300031002200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7676297872 + ... + 7676311328.

It is an arithmetic number, because the mean of its divisors is an integer number (1669307239530).

Almost surely, 2^{103300031002200} is an apocalyptic number.

103300031002200 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 103300031002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160253494994880).

103300031002200 is an abundant number, since it is smaller than the sum of its proper divisors (217206958987560).

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

103300031002200 is a wasteful number, since it uses less digits than its factorization.

103300031002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23586 (or 23577 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103300031002200 its reverse (2200130003301), we get a palindrome (105500161005501).

The spelling of 103300031002200 in words is "one hundred three trillion, three hundred billion, thirty-one million, two thousand, two hundred".