213034003331 has 16 divisors (see below), whose sum is σ = 215691880320. Its totient is φ = 210394490880.

The previous prime is 213034003309. The next prime is 213034003339. The reversal of 213034003331 is 133300430312.

213034003331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 213034003331 - 2³⁰ = 211960261507 is a prime.

It is a super-2 number, since 2×213034003331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213034003297 and 213034003306.

It is not an unprimeable number, because it can be changed into a prime (213034003339) 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 in 15 ways as a sum of consecutive naturals, for example, 29539316 + ... + 29546526.

It is an arithmetic number, because the mean of its divisors is an integer number (13480742520).

Almost surely, 2^213034003331 is an apocalyptic number.

213034003331 is a deficient number, since it is larger than the sum of its proper divisors (2657876989).

213034003331 is a wasteful number, since it uses less digits than its factorization.

213034003331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8434.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 213034003331 its reverse (133300430312), we get a palindrome (346334433643).

The spelling of 213034003331 in words is "two hundred thirteen billion, thirty-four million, three thousand, three hundred thirty-one".