213001214033 has 2 divisors, whose sum is σ = 213001214034. Its totient is φ = 213001214032.

The previous prime is 213001213973. The next prime is 213001214051. The reversal of 213001214033 is 330412100312.

213001214033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206708441104 + 6292772929 = 454652^2 + 79327^2 .

It is a cyclic number.

It is not a de Polignac number, because 213001214033 - 2²⁴ = 212984436817 is a prime.

It is a super-2 number, since 2×213001214033² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213001213996 and 213001214014.

It is not a weakly prime, because it can be changed into another prime (213001214333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106500607016 + 106500607017.

It is an arithmetic number, because the mean of its divisors is an integer number (106500607017).

Almost surely, 2^213001214033 is an apocalyptic number.

It is an amenable number.

213001214033 is a deficient number, since it is larger than the sum of its proper divisors (1).

213001214033 is an equidigital number, since it uses as much as digits as its factorization.

213001214033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213001214033 its reverse (330412100312), we get a palindrome (543413314345).

The spelling of 213001214033 in words is "two hundred thirteen billion, one million, two hundred fourteen thousand, thirty-three".