213038007 has 32 divisors (see below), whose sum is σ = 351106560. Its totient is φ = 111888000.

The previous prime is 213038003. The next prime is 213038011. The reversal of 213038007 is 700830312.

It is an interprime number because it is at equal distance from previous prime (213038003) and next prime (213038011).

It is not a de Polignac number, because 213038007 - 2² = 213038003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213038003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66969 + ... + 70077.

It is an arithmetic number, because the mean of its divisors is an integer number (10972080).

Almost surely, 2^213038007 is an apocalyptic number.

213038007 is a deficient number, since it is larger than the sum of its proper divisors (138068553).

213038007 is a wasteful number, since it uses less digits than its factorization.

213038007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 213038007 is about 14595.8215596108. The cubic root of 213038007 is about 597.2447812041.

Adding to 213038007 its reverse (700830312), we get a palindrome (913868319).

The spelling of 213038007 in words is "two hundred thirteen million, thirty-eight thousand, seven".