10313323333120 has 160 divisors (see below), whose sum is σ = 24996209515200. Its totient is φ = 4080597467136.

The previous prime is 10313323333073. The next prime is 10313323333133. The reversal of 10313323333120 is 2133332331301.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 506314296 + ... + 506334664.

It is an arithmetic number, because the mean of its divisors is an integer number (156226309470).

Almost surely, 2^{10313323333120} is an apocalyptic number.

10313323333120 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 10313323333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12498104757600).

10313323333120 is an abundant number, since it is smaller than the sum of its proper divisors (14682886182080).

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

10313323333120 is an equidigital number, since it uses as much as digits as its factorization.

10313323333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22528 (or 22512 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 10313323333120 its reverse (2133332331301), we get a palindrome (12446655664421).

The spelling of 10313323333120 in words is "ten trillion, three hundred thirteen billion, three hundred twenty-three million, three hundred thirty-three thousand, one hundred twenty".