13122231010100 has 18 divisors (see below), whose sum is σ = 28475241292134. Its totient is φ = 5248892404000.

The previous prime is 13122231010061. The next prime is 13122231010117. The reversal of 13122231010100 is 101013222131.

It can be written as a sum of positive squares in 3 ways, for example, as 2357348753956 + 10764882256144 = 1535366^2 + 3280988^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65611154951 + ... + 65611155150.

It is an arithmetic number, because the mean of its divisors is an integer number (1581957849563).

Almost surely, 2^{13122231010100} is an apocalyptic number.

13122231010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122231010100 is an abundant number, since it is smaller than the sum of its proper divisors (15353010282034).

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

13122231010100 is a wasteful number, since it uses less digits than its factorization.

13122231010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131222310115 (or 131222310108 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13122231010100 its reverse (101013222131), we get a palindrome (13223244232231).

The spelling of 13122231010100 in words is "thirteen trillion, one hundred twenty-two billion, two hundred thirty-one million, ten thousand, one hundred".