213001212001 has 2 divisors, whose sum is σ = 213001212002. Its totient is φ = 213001212000.

The previous prime is 213001211963. The next prime is 213001212043. The reversal of 213001212001 is 100212100312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 167791821376 + 45209390625 = 409624^2 + 212625^2 .

It is a cyclic number.

It is not a de Polignac number, because 213001212001 - 2⁷ = 213001211873 is a prime.

It is not a weakly prime, because it can be changed into another prime (213001212091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106500606000 + 106500606001.

It is an arithmetic number, because the mean of its divisors is an integer number (106500606001).

Almost surely, 2^213001212001 is an apocalyptic number.

It is an amenable number.

213001212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

213001212001 is an equidigital number, since it uses as much as digits as its factorization.

213001212001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 213001212001 its reverse (100212100312), we get a palindrome (313213312313).

The spelling of 213001212001 in words is "two hundred thirteen billion, one million, two hundred twelve thousand, one".