13121221114093 has 2 divisors, whose sum is σ = 13121221114094. Its totient is φ = 13121221114092.

The previous prime is 13121221113971. The next prime is 13121221114103. The reversal of 13121221114093 is 39041112212131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12040365625929 + 1080855488164 = 3469923^2 + 1039642^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121221114093 - 2¹³ = 13121221105901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121221124093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560610557046 + 6560610557047.

It is an arithmetic number, because the mean of its divisors is an integer number (6560610557047).

Almost surely, 2^{13121221114093} is an apocalyptic number.

It is an amenable number.

13121221114093 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121221114093 is an equidigital number, since it uses as much as digits as its factorization.

13121221114093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 13121221114093 in words is "thirteen trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred fourteen thousand, ninety-three".