201200013 has 48 divisors (see below), whose sum is σ = 347922432. Its totient is φ = 109620000.

The previous prime is 201200009. The next prime is 201200017. The reversal of 201200013 is 310002102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (201200009) and next prime (201200017).

It is not a de Polignac number, because 201200013 - 2² = 201200009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201199968 and 201200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201200017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137938 + ... + 139388.

It is an arithmetic number, because the mean of its divisors is an integer number (7248384).

Almost surely, 2^201200013 is an apocalyptic number.

It is an amenable number.

201200013 is a deficient number, since it is larger than the sum of its proper divisors (146722419).

201200013 is a wasteful number, since it uses less digits than its factorization.

201200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 201200013 is about 14184.4990394444. The cubic root of 201200013 is about 585.9708359103.

Adding to 201200013 its reverse (310002102), we get a palindrome (511202115).

The spelling of 201200013 in words is "two hundred one million, two hundred thousand, thirteen".