1313821121 has 2 divisors, whose sum is σ = 1313821122. Its totient is φ = 1313821120.

The previous prime is 1313821087. The next prime is 1313821151. The reversal of 1313821121 is 1211283131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 859662400 + 454158721 = 29320^2 + 21311^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313821121 - 2⁶ = 1313821057 is a prime.

It is a super-3 number, since 3×1313821121³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1313821151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656910560 + 656910561.

It is an arithmetic number, because the mean of its divisors is an integer number (656910561).

Almost surely, 2^1313821121 is an apocalyptic number.

It is an amenable number.

1313821121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313821121 is an equidigital number, since it uses as much as digits as its factorization.

1313821121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 23.

The square root of 1313821121 is about 36246.6704815766. The cubic root of 1313821121 is about 1095.2470189083.

The spelling of 1313821121 in words is "one billion, three hundred thirteen million, eight hundred twenty-one thousand, one hundred twenty-one".