10723633331100 has 72 divisors (see below), whose sum is σ = 31687195723008. Its totient is φ = 2798792241600.

The previous prime is 10723633331077. The next prime is 10723633331107. The reversal of 10723633331100 is 113333632701.

It is a super-2 number, since 2×10723633331100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10723633331107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380256586 + ... + 380284785.

Almost surely, 2^{10723633331100} is an apocalyptic number.

10723633331100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10723633331100 is an abundant number, since it is smaller than the sum of its proper divisors (20963562391908).

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

10723633331100 is a wasteful number, since it uses less digits than its factorization.

10723633331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760541435 (or 760541428 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 33.

Adding to 10723633331100 its reverse (113333632701), we get a palindrome (10836966963801).

The spelling of 10723633331100 in words is "ten trillion, seven hundred twenty-three billion, six hundred thirty-three million, three hundred thirty-one thousand, one hundred".