13313312100 has 108 divisors (see below), whose sum is σ = 45523492560. Its totient is φ = 3227467200.

The previous prime is 13313312099. The next prime is 13313312101. The reversal of 13313312100 is 121331331.

It is a happy number.

13313312100 is a `hidden beast` number, since 1 + 331 + 331 + 2 + 1 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13313312099) and next prime (13313312101).

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 (13313312101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 662490 + ... + 682289.

It is an arithmetic number, because the mean of its divisors is an integer number (421513820).

Almost surely, 2^13313312100 is an apocalyptic number.

13313312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13313312100 is an abundant number, since it is smaller than the sum of its proper divisors (32210180460).

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

13313312100 is a wasteful number, since it uses less digits than its factorization.

13313312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344810 (or 1344800 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13313312100 its reverse (121331331), we get a palindrome (13434643431).

The spelling of 13313312100 in words is "thirteen billion, three hundred thirteen million, three hundred twelve thousand, one hundred".