3023133101100 has 324 divisors, whose sum is σ = 11096922564000. Its totient is φ = 686362763520.

The previous prime is 3023133101077. The next prime is 3023133101129. The reversal of 3023133101100 is 11013313203.

It is a happy number.

3023133101100 is a `hidden beast` number, since 3 + 0 + 231 + 331 + 0 + 1 + 100 = 666.

3023133101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6340861 + ... + 6800939.

It is an arithmetic number, because the mean of its divisors is an integer number (34249761000).

Almost surely, 2^{3023133101100} is an apocalyptic number.

3023133101100 is a gapful number since it is divisible by the number (30) 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 3023133101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548461282000).

3023133101100 is an abundant number, since it is smaller than the sum of its proper divisors (8073789462900).

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

3023133101100 is a wasteful number, since it uses less digits than its factorization.

3023133101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460262 (or 460245 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3023133101100 its reverse (11013313203), we get a palindrome (3034146414303).

The spelling of 3023133101100 in words is "three trillion, twenty-three billion, one hundred thirty-three million, one hundred one thousand, one hundred".