13123132123311 has 40 divisors (see below), whose sum is σ = 22485100434720. Its totient is φ = 7471860593472.

The previous prime is 13123132123253. The next prime is 13123132123319. The reversal of 13123132123311 is 11332123132131.

13123132123311 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 1 + 321 + 2 + 331 + 1 = 666.

It is not a de Polignac number, because 13123132123311 - 2¹⁵ = 13123132090543 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123132123319) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41620656 + ... + 41934773.

It is an arithmetic number, because the mean of its divisors is an integer number (562127510868).

Almost surely, 2^{13123132123311} is an apocalyptic number.

13123132123311 is a deficient number, since it is larger than the sum of its proper divisors (9361968311409).

13123132123311 is an equidigital number, since it uses as much as digits as its factorization.

13123132123311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83555725 (or 83555716 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 13123132123311 its reverse (11332123132131), we get a palindrome (24455255255442).

The spelling of 13123132123311 in words is "thirteen trillion, one hundred twenty-three billion, one hundred thirty-two million, one hundred twenty-three thousand, three hundred eleven".