13100121310133 has 48 divisors (see below), whose sum is σ = 15568695912000. Its totient is φ = 10949385807360.

The previous prime is 13100121310103. The next prime is 13100121310139. The reversal of 13100121310133 is 33101312100131.

It is a de Polignac number, because none of the positive numbers 2^k-13100121310133 is a prime.

It is a super-2 number, since 2×13100121310133² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100121310139) 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 47 ways as a sum of consecutive naturals, for example, 723874541 + ... + 723892637.

It is an arithmetic number, because the mean of its divisors is an integer number (324347831500).

Almost surely, 2^{13100121310133} is an apocalyptic number.

13100121310133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13100121310133 is a deficient number, since it is larger than the sum of its proper divisors (2468574601867).

13100121310133 is a wasteful number, since it uses less digits than its factorization.

13100121310133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19938 (or 19927 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 13100121310133 its reverse (33101312100131), we get a palindrome (46201433410264).

The spelling of 13100121310133 in words is "thirteen trillion, one hundred billion, one hundred twenty-one million, three hundred ten thousand, one hundred thirty-three".