13405024100 has 72 divisors (see below), whose sum is σ = 31414864320. Its totient is φ = 4935588480.

The previous prime is 13405024097. The next prime is 13405024109. The reversal of 13405024100 is 142050431.

It is a super-2 number, since 2×13405024100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13405024109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452339 + ... + 481061.

It is an arithmetic number, because the mean of its divisors is an integer number (436317560).

Almost surely, 2^13405024100 is an apocalyptic number.

13405024100 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 13405024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15707432160).

13405024100 is an abundant number, since it is smaller than the sum of its proper divisors (18009840220).

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

13405024100 is a wasteful number, since it uses less digits than its factorization.

13405024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29109 (or 29102 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 13405024100 its reverse (142050431), we get a palindrome (13547074531).

The spelling of 13405024100 in words is "thirteen billion, four hundred five million, twenty-four thousand, one hundred".