23133411134100 has 216 divisors, whose sum is σ = 73708952658432. Its totient is φ = 6066967737600.

The previous prime is 23133411134077. The next prime is 23133411134147. The reversal of 23133411134100 is 143111433132.

23133411134100 is a `hidden beast` number, since 2 + 3 + 13 + 3 + 411 + 134 + 100 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 486554929 + ... + 486602471.

Almost surely, 2^{23133411134100} is an apocalyptic number.

23133411134100 is a gapful number since it is divisible by the number (20) 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 23133411134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36854476329216).

23133411134100 is an abundant number, since it is smaller than the sum of its proper divisors (50575541524332).

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

23133411134100 is a wasteful number, since it uses less digits than its factorization.

23133411134100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56487 (or 56477 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 23133411134100 its reverse (143111433132), we get a palindrome (23276522567232).

The spelling of 23133411134100 in words is "twenty-three trillion, one hundred thirty-three billion, four hundred eleven million, one hundred thirty-four thousand, one hundred".