10541123320 has 64 divisors (see below), whose sum is σ = 29190813120. Its totient is φ = 3336090624.

The previous prime is 10541123273. The next prime is 10541123321. The reversal of 10541123320 is 2332114501.

It is a happy number.

10541123320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10541123320² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10541123291 and 10541123300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10541123321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444317 + ... + 1451596.

It is an arithmetic number, because the mean of its divisors is an integer number (456106455).

Almost surely, 2^10541123320 is an apocalyptic number.

10541123320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10541123320 is an abundant number, since it is smaller than the sum of its proper divisors (18649689800).

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

10541123320 is a wasteful number, since it uses less digits than its factorization.

10541123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895944 (or 2895940 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 10541123320 its reverse (2332114501), we get a palindrome (12873237821).

The spelling of 10541123320 in words is "ten billion, five hundred forty-one million, one hundred twenty-three thousand, three hundred twenty".