10323322013340 has 576 divisors, whose sum is σ = 36834677268480. Its totient is φ = 2291416473600.

The previous prime is 10323322013311. The next prime is 10323322013419. The reversal of 10323322013340 is 4331022332301.

10323322013340 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 3 + 322 + 0 + 1 + 334 + 0 = 666.

It is a super-2 number, since 2×10323322013340² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8595604740 + ... + 8595605940.

It is an arithmetic number, because the mean of its divisors is an integer number (63949092480).

Almost surely, 2^{10323322013340} is an apocalyptic number.

10323322013340 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 10323322013340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18417338634240).

10323322013340 is an abundant number, since it is smaller than the sum of its proper divisors (26511355255140).

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

10323322013340 is a wasteful number, since it uses less digits than its factorization.

10323322013340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10323322013340 its reverse (4331022332301), we get a palindrome (14654344345641).

The spelling of 10323322013340 in words is "ten trillion, three hundred twenty-three billion, three hundred twenty-two million, thirteen thousand, three hundred forty".