13505023300 has 72 divisors (see below), whose sum is σ = 31371429600. Its totient is φ = 5030910720.

The previous prime is 13505023291. The next prime is 13505023307. The reversal of 13505023300 is 332050531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13505023307) 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, 51864 + ... + 172336.

It is an arithmetic number, because the mean of its divisors is an integer number (435714300).

Almost surely, 2^13505023300 is an apocalyptic number.

13505023300 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 13505023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685714800).

13505023300 is an abundant number, since it is smaller than the sum of its proper divisors (17866406300).

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

13505023300 is a wasteful number, since it uses less digits than its factorization.

13505023300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120565 (or 120558 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

Adding to 13505023300 its reverse (332050531), we get a palindrome (13837073831).

The spelling of 13505023300 in words is "thirteen billion, five hundred five million, twenty-three thousand, three hundred".