1310311111133 has 2 divisors, whose sum is σ = 1310311111134. Its totient is φ = 1310311111132.

The previous prime is 1310311111097. The next prime is 1310311111169. The reversal of 1310311111133 is 3311111130131.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (1310311111097) and next prime (1310311111169).

It can be written as a sum of positive squares in only one way, i.e., 1259283463684 + 51027647449 = 1122178^2 + 225893^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310311111133 - 2²⁸ = 1310042675677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1310311116133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655155555566 + 655155555567.

It is an arithmetic number, because the mean of its divisors is an integer number (655155555567).

Almost surely, 2^{1310311111133} is an apocalyptic number.

It is an amenable number.

1310311111133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310311111133 is an equidigital number, since it uses as much as digits as its factorization.

1310311111133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 20.

Adding to 1310311111133 its reverse (3311111130131), we get a palindrome (4621422241264).

The spelling of 1310311111133 in words is "one trillion, three hundred ten billion, three hundred eleven million, one hundred eleven thousand, one hundred thirty-three".