1323013200 has 120 divisors (see below), whose sum is σ = 4250695200. Its totient is φ = 351751680.

The previous prime is 1323013177. The next prime is 1323013249. The reversal of 1323013200 is 23103231.

It is a tau number, because it is divible by the number of its divisors (120).

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 1323013200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453346 + ... + 456254.

It is an arithmetic number, because the mean of its divisors is an integer number (35422460).

Almost surely, 2^1323013200 is an apocalyptic number.

1323013200 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 1323013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125347600).

1323013200 is an abundant number, since it is smaller than the sum of its proper divisors (2927682000).

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

1323013200 is a wasteful number, since it uses less digits than its factorization.

1323013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3298 counting only the distinct ones).

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

The square root of 1323013200 is about 36373.2484114356. The cubic root of 1323013200 is about 1097.7953640027.

Adding to 1323013200 its reverse (23103231), we get a palindrome (1346116431).

The spelling of 1323013200 in words is "one billion, three hundred twenty-three million, thirteen thousand, two hundred".