1023133230000 has 450 divisors, whose sum is σ = 4162233193404. Its totient is φ = 233858016000.

The previous prime is 1023133229953. The next prime is 1023133230001. The reversal of 1023133230000 is 323313201.

1023133230000 is a `hidden beast` number, since 1 + 0 + 2 + 31 + 332 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

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

It is not an unprimeable number, because it can be changed into a prime (1023133230001) 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 89 ways as a sum of consecutive naturals, for example, 4293999 + ... + 4526001.

Almost surely, 2^{1023133230000} is an apocalyptic number.

1023133230000 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 1023133230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081116596702).

1023133230000 is an abundant number, since it is smaller than the sum of its proper divisors (3139099963404).

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

1023133230000 is a wasteful number, since it uses less digits than its factorization.

1023133230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232051 (or 232020 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1023133230000 its reverse (323313201), we get a palindrome (1023456543201).

The spelling of 1023133230000 in words is "one trillion, twenty-three billion, one hundred thirty-three million, two hundred thirty thousand".