13123412320135 has 32 divisors (see below), whose sum is σ = 17544764926080. Its totient is φ = 9356708390400.

The previous prime is 13123412320133. The next prime is 13123412320199. The reversal of 13123412320135 is 53102321432131.

It is not a de Polignac number, because 13123412320135 - 2¹ = 13123412320133 is a prime.

It is a super-2 number, since 2×13123412320135² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13123412320097 and 13123412320106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123412320133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97992670 + ... + 98126500.

It is an arithmetic number, because the mean of its divisors is an integer number (548273903940).

Almost surely, 2^{13123412320135} is an apocalyptic number.

13123412320135 is a deficient number, since it is larger than the sum of its proper divisors (4421352605945).

13123412320135 is a wasteful number, since it uses less digits than its factorization.

13123412320135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185899.

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 13123412320135 its reverse (53102321432131), we get a palindrome (66225733752266).

The spelling of 13123412320135 in words is "thirteen trillion, one hundred twenty-three billion, four hundred twelve million, three hundred twenty thousand, one hundred thirty-five".