213302133140101 has 2 divisors, whose sum is σ = 213302133140102. Its totient is φ = 213302133140100.

The previous prime is 213302133140059. The next prime is 213302133140143. The reversal of 213302133140101 is 101041331203312.

It is a balanced prime because it is at equal distance from previous prime (213302133140059) and next prime (213302133140143).

It can be written as a sum of positive squares in only one way, i.e., 114145826049025 + 99156307091076 = 10683905^2 + 9957726^2 .

It is a cyclic number.

It is not a de Polignac number, because 213302133140101 - 2⁷ = 213302133139973 is a prime.

It is a super-3 number, since 3×213302133140101³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213302133140191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106651066570050 + 106651066570051.

It is an arithmetic number, because the mean of its divisors is an integer number (106651066570051).

Almost surely, 2^{213302133140101} is an apocalyptic number.

It is an amenable number.

213302133140101 is a deficient number, since it is larger than the sum of its proper divisors (1).

213302133140101 is an equidigital number, since it uses as much as digits as its factorization.

213302133140101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 213302133140101 its reverse (101041331203312), we get a palindrome (314343464343413).

The spelling of 213302133140101 in words is "two hundred thirteen trillion, three hundred two billion, one hundred thirty-three million, one hundred forty thousand, one hundred one".