210313144001 has 2 divisors, whose sum is σ = 210313144002. Its totient is φ = 210313144000.

The previous prime is 210313143899. The next prime is 210313144003. The reversal of 210313144001 is 100441313012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179661538225 + 30651605776 = 423865^2 + 175076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-210313144001 is a prime.

Together with 210313144003, 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 (210313144003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105156572000 + 105156572001.

It is an arithmetic number, because the mean of its divisors is an integer number (105156572001).

Almost surely, 2^210313144001 is an apocalyptic number.

It is an amenable number.

210313144001 is a deficient number, since it is larger than the sum of its proper divisors (1).

210313144001 is an equidigital number, since it uses as much as digits as its factorization.

210313144001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 210313144001 its reverse (100441313012), we get a palindrome (310754457013).

The spelling of 210313144001 in words is "two hundred ten billion, three hundred thirteen million, one hundred forty-four thousand, one".