213120322103053 has 2 divisors, whose sum is σ = 213120322103054. Its totient is φ = 213120322103052.

The previous prime is 213120322102993. The next prime is 213120322103113. The reversal of 213120322103053 is 350301223021312.

It is a balanced prime because it is at equal distance from previous prime (213120322102993) and next prime (213120322103113).

It can be written as a sum of positive squares in only one way, i.e., 210457169008164 + 2663153094889 = 14507142^2 + 1631917^2 .

It is a cyclic number.

It is not a de Polignac number, because 213120322103053 - 2¹³ = 213120322094861 is a prime.

It is a super-2 number, since 2×213120322103053² (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 (213120322103153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106560161051526 + 106560161051527.

It is an arithmetic number, because the mean of its divisors is an integer number (106560161051527).

Almost surely, 2^{213120322103053} is an apocalyptic number.

It is an amenable number.

213120322103053 is a deficient number, since it is larger than the sum of its proper divisors (1).

213120322103053 is an equidigital number, since it uses as much as digits as its factorization.

213120322103053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 213120322103053 its reverse (350301223021312), we get a palindrome (563421545124365).

The spelling of 213120322103053 in words is "two hundred thirteen trillion, one hundred twenty billion, three hundred twenty-two million, one hundred three thousand, fifty-three".