13420102400 has 108 divisors (see below), whose sum is σ = 33263438712. Its totient is φ = 5360517120.

The previous prime is 13420102357. The next prime is 13420102429. The reversal of 13420102400 is 420102431.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7787939 + ... + 7789661.

Almost surely, 2^13420102400 is an apocalyptic number.

13420102400 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 13420102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16631719356).

13420102400 is an abundant number, since it is smaller than the sum of its proper divisors (19843336312).

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

13420102400 is a wasteful number, since it uses less digits than its factorization.

13420102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 13420102400 its reverse (420102431), we get a palindrome (13840204831).

The spelling of 13420102400 in words is "thirteen billion, four hundred twenty million, one hundred two thousand, four hundred".