1000020312001 has 2 divisors, whose sum is σ = 1000020312002. Its totient is φ = 1000020312000.

The previous prime is 1000020311999. The next prime is 1000020312007. The reversal of 1000020312001 is 1002130200001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 692971337601 + 307048974400 = 832449^2 + 554120^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000020312001 - 2¹ = 1000020311999 is a prime.

Together with 1000020311999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1000020312007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500010156000 + 500010156001.

It is an arithmetic number, because the mean of its divisors is an integer number (500010156001).

Almost surely, 2^{1000020312001} is an apocalyptic number.

It is an amenable number.

1000020312001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000020312001 is an equidigital number, since it uses as much as digits as its factorization.

1000020312001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 1000020312001 its reverse (1002130200001), we get a palindrome (2002150512002).

The spelling of 1000020312001 in words is "one trillion, twenty million, three hundred twelve thousand, one".