11312133121313 has 2 divisors, whose sum is σ = 11312133121314. Its totient is φ = 11312133121312.

The previous prime is 11312133121279. The next prime is 11312133121357. The reversal of 11312133121313 is 31312133121311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8313666855649 + 2998466265664 = 2883343^2 + 1731608^2 .

It is a cyclic number.

It is not a de Polignac number, because 11312133121313 - 2⁶ = 11312133121249 is a prime.

It is not a weakly prime, because it can be changed into another prime (11312133111313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5656066560656 + 5656066560657.

It is an arithmetic number, because the mean of its divisors is an integer number (5656066560657).

Almost surely, 2^{11312133121313} is an apocalyptic number.

It is an amenable number.

11312133121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

11312133121313 is an equidigital number, since it uses as much as digits as its factorization.

11312133121313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 26.

Adding to 11312133121313 its reverse (31312133121311), we get a palindrome (42624266242624).

The spelling of 11312133121313 in words is "eleven trillion, three hundred twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, three hundred thirteen".