13233010000000 has 256 divisors, whose sum is σ = 37661012962560. Its totient is φ = 4537008000000.

The previous prime is 13233009999967. The next prime is 13233010000009. The reversal of 13233010000000 is 1033231.

It is a super-2 number, since 2×13233010000000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13233010000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69905479 + ... + 70094521.

It is an arithmetic number, because the mean of its divisors is an integer number (147113331885).

Almost surely, 2^{13233010000000} is an apocalyptic number.

13233010000000 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 13233010000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18830506481280).

13233010000000 is an abundant number, since it is smaller than the sum of its proper divisors (24428002962560).

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

13233010000000 is an frugal number, since it uses more digits than its factorization.

13233010000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189099 (or 189057 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13233010000000 its reverse (1033231), we get a palindrome (13233011033231).

The spelling of 13233010000000 in words is "thirteen trillion, two hundred thirty-three billion, ten million", and thus it is an aban number.