213132012012301 has 2 divisors, whose sum is σ = 213132012012302. Its totient is φ = 213132012012300.

The previous prime is 213132012012299. The next prime is 213132012012329. The reversal of 213132012012301 is 103210210231312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136208763064201 + 76923248948100 = 11670851^2 + 8770590^2 .

It is a cyclic number.

It is not a de Polignac number, because 213132012012301 - 2¹ = 213132012012299 is a prime.

Together with 213132012012299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213132012012401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106566006006150 + 106566006006151.

It is an arithmetic number, because the mean of its divisors is an integer number (106566006006151).

Almost surely, 2^{213132012012301} is an apocalyptic number.

It is an amenable number.

213132012012301 is a deficient number, since it is larger than the sum of its proper divisors (1).

213132012012301 is an equidigital number, since it uses as much as digits as its factorization.

213132012012301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 213132012012301 its reverse (103210210231312), we get a palindrome (316342222243613).

The spelling of 213132012012301 in words is "two hundred thirteen trillion, one hundred thirty-two billion, twelve million, twelve thousand, three hundred one".