3121321132081 has 2 divisors, whose sum is σ = 3121321132082. Its totient is φ = 3121321132080.

The previous prime is 3121321131967. The next prime is 3121321132087. The reversal of 3121321132081 is 1802311231213.

3121321132081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2030100633856 + 1091220498225 = 1424816^2 + 1044615^2 .

It is a cyclic number.

It is not a de Polignac number, because 3121321132081 - 2¹⁹ = 3121320607793 is a prime.

It is a super-2 number, since 2×3121321132081² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3121321132087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1560660566040 + 1560660566041.

It is an arithmetic number, because the mean of its divisors is an integer number (1560660566041).

Almost surely, 2^{3121321132081} is an apocalyptic number.

It is an amenable number.

3121321132081 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121321132081 is an equidigital number, since it uses as much as digits as its factorization.

3121321132081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 3121321132081 its reverse (1802311231213), we get a palindrome (4923632363294).

The spelling of 3121321132081 in words is "three trillion, one hundred twenty-one billion, three hundred twenty-one million, one hundred thirty-two thousand, eighty-one".