213633864514001 has 2 divisors, whose sum is σ = 213633864514002. Its totient is φ = 213633864514000.

The previous prime is 213633864513991. The next prime is 213633864514003. The reversal of 213633864514001 is 100415468336312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195005835873601 + 18628028640400 = 13964449^2 + 4316020^2 .

It is a cyclic number.

It is not a de Polignac number, because 213633864514001 - 2¹⁰ = 213633864512977 is a prime.

Together with 213633864514003, 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 (213633864514003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106816932257000 + 106816932257001.

It is an arithmetic number, because the mean of its divisors is an integer number (106816932257001).

Almost surely, 2^{213633864514001} is an apocalyptic number.

It is an amenable number.

213633864514001 is a deficient number, since it is larger than the sum of its proper divisors (1).

213633864514001 is an equidigital number, since it uses as much as digits as its factorization.

213633864514001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 213633864514001 in words is "two hundred thirteen trillion, six hundred thirty-three billion, eight hundred sixty-four million, five hundred fourteen thousand, one".