13121253411123 has 96 divisors (see below), whose sum is σ = 21083029390080. Its totient is φ = 7156110873600.

The previous prime is 13121253411113. The next prime is 13121253411193. The reversal of 13121253411123 is 32111435212131.

It is a happy number.

It is not a de Polignac number, because 13121253411123 - 2⁴ = 13121253411107 is a prime.

It is a super-2 number, since 2×13121253411123² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13121253411113) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1069457833 + ... + 1069470101.

It is an arithmetic number, because the mean of its divisors is an integer number (219614889480).

Almost surely, 2^{13121253411123} is an apocalyptic number.

13121253411123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13121253411123 is a deficient number, since it is larger than the sum of its proper divisors (7961775978957).

13121253411123 is a wasteful number, since it uses less digits than its factorization.

13121253411123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13861 (or 13820 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

Adding to 13121253411123 its reverse (32111435212131), we get a palindrome (45232688623254).

The spelling of 13121253411123 in words is "thirteen trillion, one hundred twenty-one billion, two hundred fifty-three million, four hundred eleven thousand, one hundred twenty-three".