1300442013 has 64 divisors (see below), whose sum is σ = 2244049920. Its totient is φ = 737012736.

The previous prime is 1300441999. The next prime is 1300442063. The reversal of 1300442013 is 3102440031.

1300442013 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1300442013 - 2¹⁴ = 1300425629 is a prime.

It is a super-3 number, since 3×1300442013³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300442063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278131 + ... + 282767.

It is an arithmetic number, because the mean of its divisors is an integer number (35063280).

Almost surely, 2^1300442013 is an apocalyptic number.

1300442013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1300442013 is a deficient number, since it is larger than the sum of its proper divisors (943607907).

1300442013 is a wasteful number, since it uses less digits than its factorization.

1300442013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4723 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1300442013 is about 36061.6418511415. The cubic root of 1300442013 is about 1091.5165638760.

Adding to 1300442013 its reverse (3102440031), we get a palindrome (4402882044).

The spelling of 1300442013 in words is "one billion, three hundred million, four hundred forty-two thousand, thirteen".