1303213200 has 240 divisors, whose sum is σ = 4456518336. Its totient is φ = 324403200.

The previous prime is 1303213193. The next prime is 1303213207. The reversal of 1303213200 is 23123031.

It is an interprime number because it is at equal distance from previous prime (1303213193) and next prime (1303213207).

It is a tau number, because it is divible by the number of its divisors (240).

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 1303213200.

It is not an unprimeable number, because it can be changed into a prime (1303213207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3937035 + ... + 3937365.

Almost surely, 2^1303213200 is an apocalyptic number.

1303213200 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 1303213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228259168).

1303213200 is an abundant number, since it is smaller than the sum of its proper divisors (3153305136).

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

1303213200 is a wasteful number, since it uses less digits than its factorization.

1303213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

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

The square root of 1303213200 is about 36100.0443213024. The cubic root of 1303213200 is about 1092.2913390295.

Adding to 1303213200 its reverse (23123031), we get a palindrome (1326336231).

The spelling of 1303213200 in words is "one billion, three hundred three million, two hundred thirteen thousand, two hundred".