13002233100 has 72 divisors (see below), whose sum is σ = 37632539280. Its totient is φ = 3466087680.

The previous prime is 13002233093. The next prime is 13002233161. The reversal of 13002233100 is 133220031.

13002233100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13002233100² (a number of 21 digits) contains 22 as substring.

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 13002233100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1222606 + ... + 1233194.

Almost surely, 2^13002233100 is an apocalyptic number.

13002233100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13002233100 is an abundant number, since it is smaller than the sum of its proper divisors (24630306180).

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

13002233100 is a wasteful number, since it uses less digits than its factorization.

13002233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14699 (or 14692 counting only the distinct ones).

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

Adding to 13002233100 its reverse (133220031), we get a palindrome (13135453131).

The spelling of 13002233100 in words is "thirteen billion, two million, two hundred thirty-three thousand, one hundred".