13233020100 has 144 divisors (see below), whose sum is σ = 40088767488. Its totient is φ = 3363845760.

The previous prime is 13233020083. The next prime is 13233020113. The reversal of 13233020100 is 102033231.

It is a super-3 number, since 3×13233020100³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13233020100.

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 47 ways as a sum of consecutive naturals, for example, 2115177 + ... + 2121423.

Almost surely, 2^13233020100 is an apocalyptic number.

13233020100 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 13233020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20044383744).

13233020100 is an abundant number, since it is smaller than the sum of its proper divisors (26855747388).

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

13233020100 is a wasteful number, since it uses less digits than its factorization.

13233020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6594 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13233020100 its reverse (102033231), we get a palindrome (13335053331).

The spelling of 13233020100 in words is "thirteen billion, two hundred thirty-three million, twenty thousand, one hundred".