13121132310061 has 2 divisors, whose sum is σ = 13121132310062. Its totient is φ = 13121132310060.

The previous prime is 13121132309993. The next prime is 13121132310067. The reversal of 13121132310061 is 16001323112131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13105232613225 + 15899696836 = 3620115^2 + 126094^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121132310061 - 2²¹ = 13121130212909 is a prime.

It is a super-2 number, since 2×13121132310061² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121132310067) 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, 6560566155030 + 6560566155031.

It is an arithmetic number, because the mean of its divisors is an integer number (6560566155031).

Almost surely, 2^{13121132310061} is an apocalyptic number.

It is an amenable number.

13121132310061 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121132310061 is an equidigital number, since it uses as much as digits as its factorization.

13121132310061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

Adding to 13121132310061 its reverse (16001323112131), we get a palindrome (29122455422192).

The spelling of 13121132310061 in words is "thirteen trillion, one hundred twenty-one billion, one hundred thirty-two million, three hundred ten thousand, sixty-one".