1012001312057 has 2 divisors, whose sum is σ = 1012001312058. Its totient is φ = 1012001312056.

The previous prime is 1012001312033. The next prime is 1012001312059. The reversal of 1012001312057 is 7502131002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 616380439801 + 395620872256 = 785099^2 + 628984^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012001312057 - 2²² = 1011997117753 is a prime.

Together with 1012001312059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1012001312059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506000656028 + 506000656029.

It is an arithmetic number, because the mean of its divisors is an integer number (506000656029).

Almost surely, 2^{1012001312057} is an apocalyptic number.

It is an amenable number.

1012001312057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012001312057 is an equidigital number, since it uses as much as digits as its factorization.

1012001312057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 23.

Adding to 1012001312057 its reverse (7502131002101), we get a palindrome (8514132314158).

The spelling of 1012001312057 in words is "one trillion, twelve billion, one million, three hundred twelve thousand, fifty-seven".