13313400100 has 432 divisors, whose sum is σ = 39797702784. Its totient is φ = 3761049600.

The previous prime is 13313400097. The next prime is 13313400103. The reversal of 13313400100 is 100431331.

It is an interprime number because it is at equal distance from previous prime (13313400097) and next prime (13313400103).

It is not an unprimeable number, because it can be changed into a prime (13313400103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117817644 + ... + 117817756.

It is an arithmetic number, because the mean of its divisors is an integer number (92124312).

Almost surely, 2^13313400100 is an apocalyptic number.

13313400100 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 13313400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19898851392).

13313400100 is an abundant number, since it is smaller than the sum of its proper divisors (26484302684).

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

13313400100 is a wasteful number, since it uses less digits than its factorization.

13313400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13313400100 its reverse (100431331), we get a palindrome (13413831431).

The spelling of 13313400100 in words is "thirteen billion, three hundred thirteen million, four hundred thousand, one hundred".