4201200013 has 16 divisors (see below), whose sum is σ = 4371494400. Its totient is φ = 4034459520.

The previous prime is 4201200007. The next prime is 4201200023. The reversal of 4201200013 is 3100021024.

It is a cyclic number.

It is not a de Polignac number, because 4201200013 - 2⁹ = 4201199501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4201199966 and 4201200002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201200023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1160995 + ... + 1164607.

It is an arithmetic number, because the mean of its divisors is an integer number (273218400).

Almost surely, 2^4201200013 is an apocalyptic number.

It is an amenable number.

4201200013 is a deficient number, since it is larger than the sum of its proper divisors (170294387).

4201200013 is a wasteful number, since it uses less digits than its factorization.

4201200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4201200013 is about 64816.6646241536. The cubic root of 4201200013 is about 1613.5822929280.

Adding to 4201200013 its reverse (3100021024), we get a palindrome (7301221037).

The spelling of 4201200013 in words is "four billion, two hundred one million, two hundred thousand, thirteen".