13122414001100 has 144 divisors (see below), whose sum is σ = 28928057860800. Its totient is φ = 5166235008000.

The previous prime is 13122414001091. The next prime is 13122414001217. The reversal of 13122414001100 is 110041422131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3000778514 + ... + 3000782886.

It is an arithmetic number, because the mean of its divisors is an integer number (200889290700).

Almost surely, 2^{13122414001100} is an apocalyptic number.

13122414001100 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 13122414001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14464028930400).

13122414001100 is an abundant number, since it is smaller than the sum of its proper divisors (15805643859700).

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

13122414001100 is a wasteful number, since it uses less digits than its factorization.

13122414001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6180 (or 6173 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 13122414001100 its reverse (110041422131), we get a palindrome (13232455423231).

The spelling of 13122414001100 in words is "thirteen trillion, one hundred twenty-two billion, four hundred fourteen million, one thousand, one hundred".