131012221412321 has 2 divisors, whose sum is σ = 131012221412322. Its totient is φ = 131012221412320.

The previous prime is 131012221412273. The next prime is 131012221412363. The reversal of 131012221412321 is 123214122210131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115302603789025 + 15709617623296 = 10737905^2 + 3963536^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131012221412321 is a prime.

It is a super-2 number, since 2×131012221412321² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131012221412021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65506110706160 + 65506110706161.

It is an arithmetic number, because the mean of its divisors is an integer number (65506110706161).

Almost surely, 2^{131012221412321} is an apocalyptic number.

It is an amenable number.

131012221412321 is a deficient number, since it is larger than the sum of its proper divisors (1).

131012221412321 is an equidigital number, since it uses as much as digits as its factorization.

131012221412321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 131012221412321 its reverse (123214122210131), we get a palindrome (254226343622452).

The spelling of 131012221412321 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-one million, four hundred twelve thousand, three hundred twenty-one".