13430002100 has 72 divisors (see below), whose sum is σ = 29698099200. Its totient is φ = 5270636800.

The previous prime is 13430002099. The next prime is 13430002141. The reversal of 13430002100 is 120003431.

It is a congruent number.

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, 1160141 + ... + 1171659.

It is an arithmetic number, because the mean of its divisors is an integer number (412473600).

Almost surely, 2^13430002100 is an apocalyptic number.

13430002100 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 13430002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14849049600).

13430002100 is an abundant number, since it is smaller than the sum of its proper divisors (16268097100).

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

13430002100 is a wasteful number, since it uses less digits than its factorization.

13430002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11753 (or 11746 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13430002100 its reverse (120003431), we get a palindrome (13550005531).

The spelling of 13430002100 in words is "thirteen billion, four hundred thirty million, two thousand, one hundred".