1200400013 has 2 divisors, whose sum is σ = 1200400014. Its totient is φ = 1200400012.

The previous prime is 1200400001. The next prime is 1200400027. The reversal of 1200400013 is 3100040021.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 928908484 + 271491529 = 30478^2 + 16477^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1200400013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1200399967 and 1200400003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1200400093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 600200006 + 600200007.

It is an arithmetic number, because the mean of its divisors is an integer number (600200007).

Almost surely, 2^1200400013 is an apocalyptic number.

It is an amenable number.

1200400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1200400013 is an equidigital number, since it uses as much as digits as its factorization.

1200400013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1200400013 is about 34646.7893606320. The cubic root of 1200400013 is about 1062.7766330767.

Adding to 1200400013 its reverse (3100040021), we get a palindrome (4300440034).

The spelling of 1200400013 in words is "one billion, two hundred million, four hundred thousand, thirteen".