213801906101101 has 2 divisors, whose sum is σ = 213801906101102. Its totient is φ = 213801906101100.

The previous prime is 213801906101057. The next prime is 213801906101107. The reversal of 213801906101101 is 101101609108312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213116173053001 + 685733048100 = 14598499^2 + 828090^2 .

It is a cyclic number.

It is not a de Polignac number, because 213801906101101 - 2⁷ = 213801906100973 is a prime.

It is a super-2 number, since 2×213801906101101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213801906101107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106900953050550 + 106900953050551.

It is an arithmetic number, because the mean of its divisors is an integer number (106900953050551).

Almost surely, 2^{213801906101101} is an apocalyptic number.

It is an amenable number.

213801906101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

213801906101101 is an equidigital number, since it uses as much as digits as its factorization.

213801906101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 34.

The spelling of 213801906101101 in words is "two hundred thirteen trillion, eight hundred one billion, nine hundred six million, one hundred one thousand, one hundred one".