213101003001349 has 2 divisors, whose sum is σ = 213101003001350. Its totient is φ = 213101003001348.

The previous prime is 213101003001287. The next prime is 213101003001371. The reversal of 213101003001349 is 943100300101312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133164260661124 + 79936742340225 = 11539682^2 + 8940735^2 .

It is a cyclic number.

It is not a de Polignac number, because 213101003001349 - 2¹⁷ = 213101002870277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213101003001149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106550501500674 + 106550501500675.

It is an arithmetic number, because the mean of its divisors is an integer number (106550501500675).

Almost surely, 2^{213101003001349} is an apocalyptic number.

It is an amenable number.

213101003001349 is a deficient number, since it is larger than the sum of its proper divisors (1).

213101003001349 is an equidigital number, since it uses as much as digits as its factorization.

213101003001349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 213101003001349 in words is "two hundred thirteen trillion, one hundred one billion, three million, one thousand, three hundred forty-nine".