13414052100 has 144 divisors (see below), whose sum is σ = 39900557312. Its totient is φ = 3477479040.

The previous prime is 13414052077. The next prime is 13414052153. The reversal of 13414052100 is 125041431.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2874369 + ... + 2879031.

Almost surely, 2^13414052100 is an apocalyptic number.

13414052100 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 13414052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19950278656).

13414052100 is an abundant number, since it is smaller than the sum of its proper divisors (26486505212).

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

13414052100 is a wasteful number, since it uses less digits than its factorization.

13414052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4939 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 13414052100 its reverse (125041431), we get a palindrome (13539093531).

The spelling of 13414052100 in words is "thirteen billion, four hundred fourteen million, fifty-two thousand, one hundred".