2004213137 has 2 divisors, whose sum is σ = 2004213138. Its totient is φ = 2004213136.

The previous prime is 2004213103. The next prime is 2004213199. The reversal of 2004213137 is 7313124002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1660073536 + 344139601 = 40744^2 + 18551^2 .

It is a cyclic number.

It is not a de Polignac number, because 2004213137 - 2¹⁰ = 2004212113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2004213437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002106568 + 1002106569.

It is an arithmetic number, because the mean of its divisors is an integer number (1002106569).

Almost surely, 2^2004213137 is an apocalyptic number.

It is an amenable number.

2004213137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004213137 is an equidigital number, since it uses as much as digits as its factorization.

2004213137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 2004213137 is about 44768.4390726324. The cubic root of 2004213137 is about 1260.8051327236.

Adding to 2004213137 its reverse (7313124002), we get a palindrome (9317337139).

The spelling of 2004213137 in words is "two billion, four million, two hundred thirteen thousand, one hundred thirty-seven".