213013201301057 has 2 divisors, whose sum is σ = 213013201301058. Its totient is φ = 213013201301056.

The previous prime is 213013201301027. The next prime is 213013201301107. The reversal of 213013201301057 is 750103102310312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124122415768576 + 88890785532481 = 11141024^2 + 9428191^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213013201301057 is a prime.

It is not a weakly prime, because it can be changed into another prime (213013201301027) 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, 106506600650528 + 106506600650529.

It is an arithmetic number, because the mean of its divisors is an integer number (106506600650529).

Almost surely, 2^{213013201301057} is an apocalyptic number.

It is an amenable number.

213013201301057 is a deficient number, since it is larger than the sum of its proper divisors (1).

213013201301057 is an equidigital number, since it uses as much as digits as its factorization.

213013201301057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

Adding to 213013201301057 its reverse (750103102310312), we get a palindrome (963116303611369).

The spelling of 213013201301057 in words is "two hundred thirteen trillion, thirteen billion, two hundred one million, three hundred one thousand, fifty-seven".