1300400013 has 32 divisors (see below), whose sum is σ = 2006157312. Its totient is φ = 741470400.

The previous prime is 1300399987. The next prime is 1300400021. The reversal of 1300400013 is 3100040031.

It is not a de Polignac number, because 1300400013 - 2⁵ = 1300399981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300400083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32256 + ... + 60342.

It is an arithmetic number, because the mean of its divisors is an integer number (62692416).

Almost surely, 2^1300400013 is an apocalyptic number.

It is an amenable number.

1300400013 is a deficient number, since it is larger than the sum of its proper divisors (705757299).

1300400013 is a wasteful number, since it uses less digits than its factorization.

1300400013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28185.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1300400013 is about 36061.0595102252. The cubic root of 1300400013 is about 1091.5048129511.

Adding to 1300400013 its reverse (3100040031), we get a palindrome (4400440044).

The spelling of 1300400013 in words is "one billion, three hundred million, four hundred thousand, thirteen".