315133121 has 2 divisors, whose sum is σ = 315133122. Its totient is φ = 315133120.

The previous prime is 315133109. The next prime is 315133123. The reversal of 315133121 is 121331513.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287675521 + 27457600 = 16961^2 + 5240^2 .

It is an emirp because it is prime and its reverse (121331513) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 315133121 - 2¹⁸ = 314870977 is a prime.

It is a Sophie Germain prime.

Together with 315133123, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 315133093 and 315133102.

It is not a weakly prime, because it can be changed into another prime (315133123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157566560 + 157566561.

It is an arithmetic number, because the mean of its divisors is an integer number (157566561).

Almost surely, 2^315133121 is an apocalyptic number.

It is an amenable number.

315133121 is a deficient number, since it is larger than the sum of its proper divisors (1).

315133121 is an equidigital number, since it uses as much as digits as its factorization.

315133121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 270, while the sum is 20.

The square root of 315133121 is about 17751.9892124798. The cubic root of 315133121 is about 680.5050465141.

Adding to 315133121 its reverse (121331513), we get a palindrome (436464634).

The spelling of 315133121 in words is "three hundred fifteen million, one hundred thirty-three thousand, one hundred twenty-one".