1045200013 has 48 divisors (see below), whose sum is σ = 1333160640. Its totient is φ = 805593600.

The previous prime is 1045200007. The next prime is 1045200029. The reversal of 1045200013 is 3100025401.

It is not a de Polignac number, because 1045200013 - 2²⁵ = 1011645581 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1045200013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045200043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3719433 + ... + 3719713.

It is an arithmetic number, because the mean of its divisors is an integer number (27774180).

Almost surely, 2^1045200013 is an apocalyptic number.

1045200013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1045200013 is a deficient number, since it is larger than the sum of its proper divisors (287960627).

1045200013 is a wasteful number, since it uses less digits than its factorization.

1045200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1045200013 is about 32329.5532446707. The cubic root of 1045200013 is about 1014.8452004940.

Adding to 1045200013 its reverse (3100025401), we get a palindrome (4145225414).

The spelling of 1045200013 in words is "one billion, forty-five million, two hundred thousand, thirteen".