1302133032113 has 2 divisors, whose sum is σ = 1302133032114. Its totient is φ = 1302133032112.

The previous prime is 1302133032077. The next prime is 1302133032149. The reversal of 1302133032113 is 3112303312031.

It is a balanced prime because it is at equal distance from previous prime (1302133032077) and next prime (1302133032149).

It can be written as a sum of positive squares in only one way, i.e., 960198130609 + 341934901504 = 979897^2 + 584752^2 .

It is a cyclic number.

It is not a de Polignac number, because 1302133032113 - 2¹⁶ = 1302132966577 is a prime.

It is not a weakly prime, because it can be changed into another prime (1302133002113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 651066516056 + 651066516057.

It is an arithmetic number, because the mean of its divisors is an integer number (651066516057).

Almost surely, 2^{1302133032113} is an apocalyptic number.

It is an amenable number.

1302133032113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1302133032113 is an equidigital number, since it uses as much as digits as its factorization.

1302133032113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1302133032113 its reverse (3112303312031), we get a palindrome (4414436344144).

The spelling of 1302133032113 in words is "one trillion, three hundred two billion, one hundred thirty-three million, thirty-two thousand, one hundred thirteen".