1323131313000 has 512 divisors, whose sum is σ = 4780276300800. Its totient is φ = 298450944000.

The previous prime is 1323131312953. The next prime is 1323131313001. The reversal of 1323131313000 is 3131313231.

It is a super-2 number, since 2×1323131313000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1323131313001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 939056296 + ... + 939057704.

It is an arithmetic number, because the mean of its divisors is an integer number (9336477150).

Almost surely, 2^{1323131313000} is an apocalyptic number.

1323131313000 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 1323131313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390138150400).

1323131313000 is an abundant number, since it is smaller than the sum of its proper divisors (3457144987800).

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

1323131313000 is a wasteful number, since it uses less digits than its factorization.

1323131313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1323131313000 its reverse (3131313231), we get a palindrome (1326262626231).

The spelling of 1323131313000 in words is "one trillion, three hundred twenty-three billion, one hundred thirty-one million, three hundred thirteen thousand".