13011213110121 has 12 divisors (see below), whose sum is σ = 18794045324340. Its totient is φ = 8674109381760.

The previous prime is 13011213110009. The next prime is 13011213110179. The reversal of 13011213110121 is 12101131211031.

It can be written as a sum of positive squares in 2 ways, for example, as 4928200202025 + 8083012908096 = 2219955^2 + 2843064^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13011213110121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13011213110094 and 13011213110103.

It is not an unprimeable number, because it can be changed into a prime (13011213110221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67260 + ... + 5101661.

It is an arithmetic number, because the mean of its divisors is an integer number (1566170443695).

Almost surely, 2^{13011213110121} is an apocalyptic number.

It is an amenable number.

13011213110121 is a deficient number, since it is larger than the sum of its proper divisors (5782832214219).

13011213110121 is a wasteful number, since it uses less digits than its factorization.

13011213110121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448616 (or 5448613 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 13011213110121 its reverse (12101131211031), we get a palindrome (25112344321152).

The spelling of 13011213110121 in words is "thirteen trillion, eleven billion, two hundred thirteen million, one hundred ten thousand, one hundred twenty-one".