1323312010032 has 320 divisors, whose sum is σ = 3821755392000. Its totient is φ = 392668176384.

The previous prime is 1323312009991. The next prime is 1323312010037. The reversal of 1323312010032 is 2300102133231.

It is a junction number, because it is equal to n+sod(n) for n = 1323312009990 and 1323312010008.

It is not an unprimeable number, because it can be changed into a prime (1323312010037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282817069 + ... + 282821747.

It is an arithmetic number, because the mean of its divisors is an integer number (11942985600).

Almost surely, 2^{1323312010032} is an apocalyptic number.

1323312010032 is a gapful number since it is divisible by the number (12) 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 1323312010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910877696000).

1323312010032 is an abundant number, since it is smaller than the sum of its proper divisors (2498443381968).

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

1323312010032 is a wasteful number, since it uses less digits than its factorization.

1323312010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1323312010032 its reverse (2300102133231), we get a palindrome (3623414143263).

The spelling of 1323312010032 in words is "one trillion, three hundred twenty-three billion, three hundred twelve million, ten thousand, thirty-two".