4200332013 has 24 divisors (see below), whose sum is σ = 6333762240. Its totient is φ = 2677276800.

The previous prime is 4200331979. The next prime is 4200332039. The reversal of 4200332013 is 3102330024.

It is not a de Polignac number, because 4200332013 - 2¹⁴ = 4200315629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200333013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836053 + ... + 841061.

It is an arithmetic number, because the mean of its divisors is an integer number (263906760).

Almost surely, 2^4200332013 is an apocalyptic number.

It is an amenable number.

4200332013 is a deficient number, since it is larger than the sum of its proper divisors (2133430227).

4200332013 is a wasteful number, since it uses less digits than its factorization.

4200332013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9089 (or 9086 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 4200332013 is about 64809.9684693643. The cubic root of 4200332013 is about 1613.4711591333.

Adding to 4200332013 its reverse (3102330024), we get a palindrome (7302662037).

The spelling of 4200332013 in words is "four billion, two hundred million, three hundred thirty-two thousand, thirteen".