13001002100 has 36 divisors (see below), whose sum is σ = 28219173024. Its totient is φ = 5199110880.

The previous prime is 13001002067. The next prime is 13001002109. The reversal of 13001002100 is 120010031.

13001002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001002109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 458537 + ... + 486063.

Almost surely, 2^13001002100 is an apocalyptic number.

13001002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001002100 is an abundant number, since it is smaller than the sum of its proper divisors (15218170924).

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

13001002100 is a wasteful number, since it uses less digits than its factorization.

13001002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32264 (or 32257 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 13001002100 its reverse (120010031), we get a palindrome (13121012131).

The spelling of 13001002100 in words is "thirteen billion, one million, two thousand, one hundred".