13123122001 has 64 divisors (see below), whose sum is σ = 15974081280. Its totient is φ = 10644480000.

The previous prime is 13123121941. The next prime is 13123122011. The reversal of 13123122001 is 10022132131.

13123122001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13123122001 - 2⁹ = 13123121489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13123122011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62194786 + ... + 62194996.

It is an arithmetic number, because the mean of its divisors is an integer number (249595020).

Almost surely, 2^13123122001 is an apocalyptic number.

13123122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13123122001 is a deficient number, since it is larger than the sum of its proper divisors (2850959279).

13123122001 is a wasteful number, since it uses less digits than its factorization.

13123122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13123122001 its reverse (10022132131), we get a palindrome (23145254132).

It can be divided in two parts, 131 and 23122001, that added together give a palindrome (23122132).

The spelling of 13123122001 in words is "thirteen billion, one hundred twenty-three million, one hundred twenty-two thousand, one".