13122111133013 has 2 divisors, whose sum is σ = 13122111133014. Its totient is φ = 13122111133012.

The previous prime is 13122111132983. The next prime is 13122111133063. The reversal of 13122111133013 is 31033111122131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12693985631044 + 428125501969 = 3562862^2 + 654313^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13122111133013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13122111133013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13122111133063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561055566506 + 6561055566507.

It is an arithmetic number, because the mean of its divisors is an integer number (6561055566507).

Almost surely, 2^{13122111133013} is an apocalyptic number.

It is an amenable number.

13122111133013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122111133013 is an equidigital number, since it uses as much as digits as its factorization.

13122111133013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 13122111133013 its reverse (31033111122131), we get a palindrome (44155222255144).

The spelling of 13122111133013 in words is "thirteen trillion, one hundred twenty-two billion, one hundred eleven million, one hundred thirty-three thousand, thirteen".