213121012333001 has 8 divisors (see below), whose sum is σ = 213407528101320. Its totient is φ = 212834509711488.

The previous prime is 213121012332979. The next prime is 213121012333027. The reversal of 213121012333001 is 100333210121312.

It can be written as a sum of positive squares in 4 ways, for example, as 74521368395776 + 138599643937225 = 8632576^2 + 11772835^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213121012333001 - 2¹⁰ = 213121012331977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213121012333081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29374805 + ... + 35904333.

It is an arithmetic number, because the mean of its divisors is an integer number (26675941012665).

Almost surely, 2^{213121012333001} is an apocalyptic number.

It is an amenable number.

213121012333001 is a deficient number, since it is larger than the sum of its proper divisors (286515768319).

213121012333001 is an equidigital number, since it uses as much as digits as its factorization.

213121012333001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6573403.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 213121012333001 its reverse (100333210121312), we get a palindrome (313454222454313).

The spelling of 213121012333001 in words is "two hundred thirteen trillion, one hundred twenty-one billion, twelve million, three hundred thirty-three thousand, one".