10113332322000 has 640 divisors, whose sum is σ = 34454294784000. Its totient is φ = 2548740096000.

The previous prime is 10113332321999. The next prime is 10113332322043. The reversal of 10113332322000 is 22323331101.

It is a congruent number.

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, 2175375676 + ... + 2175380324.

It is an arithmetic number, because the mean of its divisors is an integer number (53834835600).

Almost surely, 2^{10113332322000} is an apocalyptic number.

10113332322000 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 10113332322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17227147392000).

10113332322000 is an abundant number, since it is smaller than the sum of its proper divisors (24340962462000).

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

10113332322000 is a wasteful number, since it uses less digits than its factorization.

10113332322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992 (or 4976 counting only the distinct ones).

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

Adding to 10113332322000 its reverse (22323331101), we get a palindrome (10135655653101).

It can be divided in two parts, 1011333 and 2322000, that added together give a palindrome (3333333).

The spelling of 10113332322000 in words is "ten trillion, one hundred thirteen billion, three hundred thirty-two million, three hundred twenty-two thousand".