323011313121000 has 512 divisors, whose sum is σ = 1186114295808000. Its totient is φ = 71661028608000.

The previous prime is 323011313120971. The next prime is 323011313121023. The reversal of 323011313121000 is 121313110323.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96230980 + ... + 99531020.

It is an arithmetic number, because the mean of its divisors is an integer number (2316629484000).

Almost surely, 2^{323011313121000} is an apocalyptic number.

323011313121000 is a gapful number since it is divisible by the number (30) 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 323011313121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593057147904000).

323011313121000 is an abundant number, since it is smaller than the sum of its proper divisors (863102982687000).

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

323011313121000 is a wasteful number, since it uses less digits than its factorization.

323011313121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300210 (or 3300196 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 323011313121000 its reverse (121313110323), we get a palindrome (323132626231323).

The spelling of 323011313121000 in words is "three hundred twenty-three trillion, eleven billion, three hundred thirteen million, one hundred twenty-one thousand".