1311020003129 has 2 divisors, whose sum is σ = 1311020003130. Its totient is φ = 1311020003128.

The previous prime is 1311020003089. The next prime is 1311020003131. The reversal of 1311020003129 is 9213000201131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 749678905600 + 561341097529 = 865840^2 + 749227^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311020003129 - 2²⁴ = 1311003225913 is a prime.

Together with 1311020003131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1311020003149) 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, 655510001564 + 655510001565.

It is an arithmetic number, because the mean of its divisors is an integer number (655510001565).

Almost surely, 2^{1311020003129} is an apocalyptic number.

It is an amenable number.

1311020003129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311020003129 is an equidigital number, since it uses as much as digits as its factorization.

1311020003129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 1311020003129 in words is "one trillion, three hundred eleven billion, twenty million, three thousand, one hundred twenty-nine".