1023133444200 has 576 divisors, whose sum is σ = 3989653574400. Its totient is φ = 230133657600.

The previous prime is 1023133444189. The next prime is 1023133444237. The reversal of 1023133444200 is 24443313201.

1023133444200 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 13 + 3 + 444 + 200 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 906229236 + ... + 906230364.

It is an arithmetic number, because the mean of its divisors is an integer number (6926481900).

Almost surely, 2^{1023133444200} is an apocalyptic number.

1023133444200 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 1023133444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994826787200).

1023133444200 is an abundant number, since it is smaller than the sum of its proper divisors (2966520130200).

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

1023133444200 is a wasteful number, since it uses less digits than its factorization.

1023133444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1023133444200 its reverse (24443313201), we get a palindrome (1047576757401).

The spelling of 1023133444200 in words is "one trillion, twenty-three billion, one hundred thirty-three million, four hundred forty-four thousand, two hundred".