13121011101311 has 2 divisors, whose sum is σ = 13121011101312. Its totient is φ = 13121011101310.

The previous prime is 13121011101307. The next prime is 13121011101323. The reversal of 13121011101311 is 11310111012131.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13121011101311 - 2² = 13121011101307 is a prime.

It is a super-2 number, since 2×13121011101311² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13121011101311.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121011103311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560505550655 + 6560505550656.

It is an arithmetic number, because the mean of its divisors is an integer number (6560505550656).

Almost surely, 2^{13121011101311} is an apocalyptic number.

13121011101311 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121011101311 is an equidigital number, since it uses as much as digits as its factorization.

13121011101311 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 13121011101311 its reverse (11310111012131), we get a palindrome (24431122113442).

The spelling of 13121011101311 in words is "thirteen trillion, one hundred twenty-one billion, eleven million, one hundred one thousand, three hundred eleven".