2731446400213 has 2 divisors, whose sum is σ = 2731446400214. Its totient is φ = 2731446400212.

The previous prime is 2731446400211. The next prime is 2731446400217. The reversal of 2731446400213 is 3120046441372.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2727709890084 + 3736510129 = 1651578^2 + 61127^2 .

It is a cyclic number.

It is not a de Polignac number, because 2731446400213 - 2¹ = 2731446400211 is a prime.

Together with 2731446400211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2731446400211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1365723200106 + 1365723200107.

It is an arithmetic number, because the mean of its divisors is an integer number (1365723200107).

Almost surely, 2^{2731446400213} is an apocalyptic number.

It is an amenable number.

2731446400213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2731446400213 is an equidigital number, since it uses as much as digits as its factorization.

2731446400213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 2731446400213 in words is "two trillion, seven hundred thirty-one billion, four hundred forty-six million, four hundred thousand, two hundred thirteen".