10323312121320 has 256 divisors, whose sum is σ = 34619840640000. Its totient is φ = 2440846387200.

The previous prime is 10323312121319. The next prime is 10323312121321. The reversal of 10323312121320 is 2312121332301.

It is an interprime number because it is at equal distance from previous prime (10323312121319) and next prime (10323312121321).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10323312121321) 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, 191503731 + ... + 191557629.

It is an arithmetic number, because the mean of its divisors is an integer number (135233752500).

Almost surely, 2^{10323312121320} is an apocalyptic number.

10323312121320 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 10323312121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309920320000).

10323312121320 is an abundant number, since it is smaller than the sum of its proper divisors (24296528518680).

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

10323312121320 is a wasteful number, since it uses less digits than its factorization.

10323312121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57504 (or 57500 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 10323312121320 its reverse (2312121332301), we get a palindrome (12635433453621).

The spelling of 10323312121320 in words is "ten trillion, three hundred twenty-three billion, three hundred twelve million, one hundred twenty-one thousand, three hundred twenty".