13121123100020 has 48 divisors (see below), whose sum is σ = 29681628327120. Its totient is φ = 4843464615936.

The previous prime is 13121123099983. The next prime is 13121123100053. The reversal of 13121123100020 is 2000132112131.

It can be written as a sum of positive squares in 8 ways, for example, as 2213507181796 + 10907615918224 = 1487786^2 + 3302668^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5547125 + ... + 7550684.

It is an arithmetic number, because the mean of its divisors is an integer number (618367256815).

Almost surely, 2^{13121123100020} is an apocalyptic number.

13121123100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121123100020 is an abundant number, since it is smaller than the sum of its proper divisors (16560505227100).

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

13121123100020 is a wasteful number, since it uses less digits than its factorization.

13121123100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13101684 (or 13101682 counting only the distinct ones).

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

Adding to 13121123100020 its reverse (2000132112131), we get a palindrome (15121255212151).

The spelling of 13121123100020 in words is "thirteen trillion, one hundred twenty-one billion, one hundred twenty-three million, one hundred thousand, twenty".