13005305100 has 216 divisors, whose sum is σ = 41660302320. Its totient is φ = 3392471040.

The previous prime is 13005305063. The next prime is 13005305107. The reversal of 13005305100 is 150350031.

It is a happy number.

13005305100 is a `hidden beast` number, since 1 + 30 + 0 + 530 + 5 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13005305107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13646224 + ... + 13647176.

It is an arithmetic number, because the mean of its divisors is an integer number (192871770).

Almost surely, 2^13005305100 is an apocalyptic number.

13005305100 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 13005305100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20830151160).

13005305100 is an abundant number, since it is smaller than the sum of its proper divisors (28654997220).

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

13005305100 is a wasteful number, since it uses less digits than its factorization.

13005305100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

Adding to 13005305100 its reverse (150350031), we get a palindrome (13155655131).

The spelling of 13005305100 in words is "thirteen billion, five million, three hundred five thousand, one hundred".