1233033100000 has 144 divisors (see below), whose sum is σ = 3267628420896. Its totient is φ = 455273280000.

The previous prime is 1233033099973. The next prime is 1233033100007. The reversal of 1233033100000 is 13303321.

It is a super-2 number, since 2×1233033100000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233033100007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825757 + ... + 1774243.

It is an arithmetic number, because the mean of its divisors is an integer number (22691864034).

Almost surely, 2^{1233033100000} is an apocalyptic number.

1233033100000 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 1233033100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633814210448).

1233033100000 is an abundant number, since it is smaller than the sum of its proper divisors (2034595320896).

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

1233033100000 is an frugal number, since it uses more digits than its factorization.

1233033100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948535 (or 948507 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 1233033100000 its reverse (13303321), we get a palindrome (1233046403321).

The spelling of 1233033100000 in words is "one trillion, two hundred thirty-three billion, thirty-three million, one hundred thousand".