10311213232320 has 1792 divisors, whose sum is σ = 46965690777600. Its totient is φ = 1845497364480.

The previous prime is 10311213232319. The next prime is 10311213232361. The reversal of 10311213232320 is 2323231211301.

It is a super-2 number, since 2×10311213232320² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1223297866 + ... + 1223306294.

It is an arithmetic number, because the mean of its divisors is an integer number (26208532800).

Almost surely, 2^{10311213232320} is an apocalyptic number.

10311213232320 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 10311213232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23482845388800).

10311213232320 is an abundant number, since it is smaller than the sum of its proper divisors (36654477545280).

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

10311213232320 is a wasteful number, since it uses less digits than its factorization.

10311213232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8566 (or 8556 counting only the distinct ones).

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

Adding to 10311213232320 its reverse (2323231211301), we get a palindrome (12634444443621).

The spelling of 10311213232320 in words is "ten trillion, three hundred eleven billion, two hundred thirteen million, two hundred thirty-two thousand, three hundred twenty".