1220101122313 has 2 divisors, whose sum is σ = 1220101122314. Its totient is φ = 1220101122312.

The previous prime is 1220101122211. The next prime is 1220101122343. The reversal of 1220101122313 is 3132211010221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 719193890809 + 500907231504 = 848053^2 + 707748^2 .

It is a cyclic number.

It is not a de Polignac number, because 1220101122313 - 2³³ = 1211511187721 is a prime.

It is not a weakly prime, because it can be changed into another prime (1220101122343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 610050561156 + 610050561157.

It is an arithmetic number, because the mean of its divisors is an integer number (610050561157).

Almost surely, 2^{1220101122313} is an apocalyptic number.

It is an amenable number.

1220101122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1220101122313 is an equidigital number, since it uses as much as digits as its factorization.

1220101122313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1220101122313 its reverse (3132211010221), we get a palindrome (4352312132534).

The spelling of 1220101122313 in words is "one trillion, two hundred twenty billion, one hundred one million, one hundred twenty-two thousand, three hundred thirteen".