1313212132321 has 2 divisors, whose sum is σ = 1313212132322. Its totient is φ = 1313212132320.

The previous prime is 1313212132307. The next prime is 1313212132339. The reversal of 1313212132321 is 1232312123131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1289278495296 + 23933637025 = 1135464^2 + 154705^2 .

It is an emirp because it is prime and its reverse (1232312123131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1313212132321 - 2⁹ = 1313212131809 is a prime.

It is a super-2 number, since 2×1313212132321² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1313212132121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656606066160 + 656606066161.

It is an arithmetic number, because the mean of its divisors is an integer number (656606066161).

Almost surely, 2^{1313212132321} is an apocalyptic number.

It is an amenable number.

1313212132321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313212132321 is an equidigital number, since it uses as much as digits as its factorization.

1313212132321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296, while the sum is 25.

Adding to 1313212132321 its reverse (1232312123131), we get a palindrome (2545524255452).

The spelling of 1313212132321 in words is "one trillion, three hundred thirteen billion, two hundred twelve million, one hundred thirty-two thousand, three hundred twenty-one".