1312133120321 has 2 divisors, whose sum is σ = 1312133120322. Its totient is φ = 1312133120320.

The previous prime is 1312133120303. The next prime is 1312133120357. The reversal of 1312133120321 is 1230213312131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1311986976400 + 146143921 = 1145420^2 + 12089^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312133120321 - 2¹⁴ = 1312133103937 is a prime.

It is not a weakly prime, because it can be changed into another prime (1312133120021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656066560160 + 656066560161.

It is an arithmetic number, because the mean of its divisors is an integer number (656066560161).

Almost surely, 2^{1312133120321} is an apocalyptic number.

It is an amenable number.

1312133120321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312133120321 is an equidigital number, since it uses as much as digits as its factorization.

1312133120321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1312133120321 its reverse (1230213312131), we get a palindrome (2542346432452).

The spelling of 1312133120321 in words is "one trillion, three hundred twelve billion, one hundred thirty-three million, one hundred twenty thousand, three hundred twenty-one".