1001020122313 has 2 divisors, whose sum is σ = 1001020122314. Its totient is φ = 1001020122312.

The previous prime is 1001020122301. The next prime is 1001020122367. The reversal of 1001020122313 is 3132210201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 946051913104 + 54968209209 = 972652^2 + 234453^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001020122313 - 2¹³ = 1001020114121 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001020126313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500510061156 + 500510061157.

It is an arithmetic number, because the mean of its divisors is an integer number (500510061157).

Almost surely, 2^{1001020122313} is an apocalyptic number.

It is an amenable number.

1001020122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001020122313 is an equidigital number, since it uses as much as digits as its factorization.

1001020122313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1001020122313 its reverse (3132210201001), we get a palindrome (4133230323314).

The spelling of 1001020122313 in words is "one trillion, one billion, twenty million, one hundred twenty-two thousand, three hundred thirteen".