1313323000 has 256 divisors, whose sum is σ = 3639168000. Its totient is φ = 438592000.

The previous prime is 1313322991. The next prime is 1313323001. The reversal of 1313323000 is 3233131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313323001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7336911 + ... + 7337089.

It is an arithmetic number, because the mean of its divisors is an integer number (14215500).

Almost surely, 2^1313323000 is an apocalyptic number.

1313323000 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 1313323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819584000).

1313323000 is an abundant number, since it is smaller than the sum of its proper divisors (2325845000).

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

1313323000 is a wasteful number, since it uses less digits than its factorization.

1313323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 1313323000 is about 36239.7985645616. The cubic root of 1313323000 is about 1095.1085844100.

Adding to 1313323000 its reverse (3233131), we get a palindrome (1316556131).

The spelling of 1313323000 in words is "one billion, three hundred thirteen million, three hundred twenty-three thousand".