120200013 has 36 divisors (see below), whose sum is σ = 189572500. Its totient is φ = 73322496.

The previous prime is 120200011. The next prime is 120200029. The reversal of 120200013 is 310002021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 25371369 + 94828644 = 5037^2 + 9738^2 .

It is not a de Polignac number, because 120200013 - 2¹ = 120200011 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120199968 and 120200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120200011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95613 + ... + 96861.

Almost surely, 2^120200013 is an apocalyptic number.

It is an amenable number.

120200013 is a deficient number, since it is larger than the sum of its proper divisors (69372487).

120200013 is a wasteful number, since it uses less digits than its factorization.

120200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1306 counting only the distinct ones).

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

The square root of 120200013 is about 10963.5766518048. The cubic root of 120200013 is about 493.5163041272.

Adding to 120200013 its reverse (310002021), we get a palindrome (430202034).

The spelling of 120200013 in words is "one hundred twenty million, two hundred thousand, thirteen".