1323103200 has 144 divisors (see below), whose sum is σ = 4560176880. Its totient is φ = 332062720.

The previous prime is 1323103193. The next prime is 1323103207. The reversal of 1323103200 is 23013231.

It is an interprime number because it is at equal distance from previous prime (1323103193) and next prime (1323103207).

It is a super-3 number, since 3×1323103200³ (a number of 28 digits) contains 333 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 1323103200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323103207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24586 + ... + 57014.

It is an arithmetic number, because the mean of its divisors is an integer number (31667895).

Almost surely, 2^1323103200 is an apocalyptic number.

1323103200 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 1323103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280088440).

1323103200 is an abundant number, since it is smaller than the sum of its proper divisors (3237073680).

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

1323103200 is a wasteful number, since it uses less digits than its factorization.

1323103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32469 (or 32456 counting only the distinct ones).

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

The square root of 1323103200 is about 36374.4855633726. The cubic root of 1323103200 is about 1097.8202565088.

Adding to 1323103200 its reverse (23013231), we get a palindrome (1346116431).

The spelling of 1323103200 in words is "one billion, three hundred twenty-three million, one hundred three thousand, two hundred".