13114313300 has 288 divisors, whose sum is σ = 33912829440. Its totient is φ = 4354560000.

The previous prime is 13114313291. The next prime is 13114313347. The reversal of 13114313300 is 331341131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48392165 + ... + 48392435.

It is an arithmetic number, because the mean of its divisors is an integer number (117752880).

Almost surely, 2^13114313300 is an apocalyptic number.

13114313300 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 13114313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16956414720).

13114313300 is an abundant number, since it is smaller than the sum of its proper divisors (20798516140).

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

13114313300 is a wasteful number, since it uses less digits than its factorization.

13114313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13114313300 its reverse (331341131), we get a palindrome (13445654431).

The spelling of 13114313300 in words is "thirteen billion, one hundred fourteen million, three hundred thirteen thousand, three hundred".