13233063145100 has 72 divisors (see below), whose sum is σ = 29266585724880. Its totient is φ = 5191749838080.

The previous prime is 13233063145067. The next prime is 13233063145139. The reversal of 13233063145100 is 154136033231.

It is a super-2 number, since 2×13233063145100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16857131 + ... + 17624669.

It is an arithmetic number, because the mean of its divisors is an integer number (406480357290).

Almost surely, 2^{13233063145100} is an apocalyptic number.

13233063145100 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 13233063145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14633292862440).

13233063145100 is an abundant number, since it is smaller than the sum of its proper divisors (16033522579780).

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

13233063145100 is a wasteful number, since it uses less digits than its factorization.

13233063145100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770859 (or 770852 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

Adding to 13233063145100 its reverse (154136033231), we get a palindrome (13387199178331).

The spelling of 13233063145100 in words is "thirteen trillion, two hundred thirty-three billion, sixty-three million, one hundred forty-five thousand, one hundred".