1313423200 has 72 divisors (see below), whose sum is σ = 3218512752. Its totient is φ = 523384320.

The previous prime is 1313423197. The next prime is 1313423201. The reversal of 1313423200 is 23243131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313423201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218637 + ... + 224563.

It is an arithmetic number, because the mean of its divisors is an integer number (44701566).

Almost surely, 2^1313423200 is an apocalyptic number.

1313423200 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 1313423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609256376).

1313423200 is an abundant number, since it is smaller than the sum of its proper divisors (1905089552).

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

1313423200 is a wasteful number, since it uses less digits than its factorization.

1313423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6224 (or 6211 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1313423200 is about 36241.1809962093. The cubic root of 1313423200 is about 1095.1364341443.

Adding to 1313423200 its reverse (23243131), we get a palindrome (1336666331).

The spelling of 1313423200 in words is "one billion, three hundred thirteen million, four hundred twenty-three thousand, two hundred".