13121133132113 has 2 divisors, whose sum is σ = 13121133132114. Its totient is φ = 13121133132112.

The previous prime is 13121133132109. The next prime is 13121133132197. The reversal of 13121133132113 is 31123133112131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12849808823569 + 271324308544 = 3584663^2 + 520888^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121133132113 - 2² = 13121133132109 is a prime.

It is not a weakly prime, because it can be changed into another prime (13121133132103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560566566056 + 6560566566057.

It is an arithmetic number, because the mean of its divisors is an integer number (6560566566057).

Almost surely, 2^{13121133132113} is an apocalyptic number.

It is an amenable number.

13121133132113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121133132113 is an equidigital number, since it uses as much as digits as its factorization.

13121133132113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 26.

Adding to 13121133132113 its reverse (31123133112131), we get a palindrome (44244266244244).

The spelling of 13121133132113 in words is "thirteen trillion, one hundred twenty-one billion, one hundred thirty-three million, one hundred thirty-two thousand, one hundred thirteen".