4213001013 has 32 divisors (see below), whose sum is σ = 6626188800. Its totient is φ = 2355956736.

The previous prime is 4213000969. The next prime is 4213001021. The reversal of 4213001013 is 3101003124.

It is not a de Polignac number, because 4213001013 - 2¹³ = 4212992821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4213000983 and 4213001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213001063) 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 31 ways as a sum of consecutive naturals, for example, 90333 + ... + 128786.

It is an arithmetic number, because the mean of its divisors is an integer number (207068400).

Almost surely, 2^4213001013 is an apocalyptic number.

It is an amenable number.

4213001013 is a deficient number, since it is larger than the sum of its proper divisors (2413187787).

4213001013 is a wasteful number, since it uses less digits than its factorization.

4213001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219181.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4213001013 is about 64907.6344739199. The cubic root of 4213001013 is about 1615.0917095278.

Adding to 4213001013 its reverse (3101003124), we get a palindrome (7314004137).

The spelling of 4213001013 in words is "four billion, two hundred thirteen million, one thousand, thirteen".