213013132001 has 2 divisors, whose sum is σ = 213013132002. Its totient is φ = 213013132000.

The previous prime is 213013131979. The next prime is 213013132021. The reversal of 213013132001 is 100231310312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172265672401 + 40747459600 = 415049^2 + 201860^2 .

It is a cyclic number.

It is not a de Polignac number, because 213013132001 - 2²² = 213008937697 is a prime.

It is not a weakly prime, because it can be changed into another prime (213013132021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106506566000 + 106506566001.

It is an arithmetic number, because the mean of its divisors is an integer number (106506566001).

Almost surely, 2^213013132001 is an apocalyptic number.

It is an amenable number.

213013132001 is a deficient number, since it is larger than the sum of its proper divisors (1).

213013132001 is an equidigital number, since it uses as much as digits as its factorization.

213013132001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 213013132001 its reverse (100231310312), we get a palindrome (313244442313).

The spelling of 213013132001 in words is "two hundred thirteen billion, thirteen million, one hundred thirty-two thousand, one".