13123120013231 has 16 divisors (see below), whose sum is σ = 13649068799520. Its totient is φ = 12607224981120.

The previous prime is 13123120013183. The next prime is 13123120013239. The reversal of 13123120013231 is 13231002132131.

It is a cyclic number.

It is not a de Polignac number, because 13123120013231 - 2⁶ = 13123120013167 is a prime.

It is a super-4 number, since 4×13123120013231⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13123120013197 and 13123120013206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123120013239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64185041 + ... + 64389173.

It is an arithmetic number, because the mean of its divisors is an integer number (853066799970).

Almost surely, 2^{13123120013231} is an apocalyptic number.

13123120013231 is a deficient number, since it is larger than the sum of its proper divisors (525948786289).

13123120013231 is a wasteful number, since it uses less digits than its factorization.

13123120013231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228746.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13123120013231 its reverse (13231002132131), we get a palindrome (26354122145362).

The spelling of 13123120013231 in words is "thirteen trillion, one hundred twenty-three billion, one hundred twenty million, thirteen thousand, two hundred thirty-one".