1313223200 has 72 divisors (see below), whose sum is σ = 3216950352. Its totient is φ = 523480320.

The previous prime is 1313223101. The next prime is 1313223221. The reversal of 1313223200 is 23223131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242927 + ... + 248273.

It is an arithmetic number, because the mean of its divisors is an integer number (44679866).

Almost surely, 2^1313223200 is an apocalyptic number.

1313223200 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 1313223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608475176).

1313223200 is an abundant number, since it is smaller than the sum of its proper divisors (1903727152).

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

1313223200 is a wasteful number, since it uses less digits than its factorization.

1313223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5661 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1313223200 is about 36238.4215991812. The cubic root of 1313223200 is about 1095.0808444442.

Adding to 1313223200 its reverse (23223131), we get a palindrome (1336446331).

The spelling of 1313223200 in words is "one billion, three hundred thirteen million, two hundred twenty-three thousand, two hundred".