1300001313 has 16 divisors (see below), whose sum is σ = 1877855616. Its totient is φ = 795206400.

The previous prime is 1300001293. The next prime is 1300001321. The reversal of 1300001313 is 3131000031.

It is not a de Polignac number, because 1300001313 - 2⁶ = 1300001249 is a prime.

1300001313 is a modest number, since divided by 1313 gives 13 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1300001323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93288 + ... + 106313.

It is an arithmetic number, because the mean of its divisors is an integer number (117365976).

Almost surely, 2^1300001313 is an apocalyptic number.

1300001313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1300001313 is a deficient number, since it is larger than the sum of its proper divisors (577854303).

1300001313 is a wasteful number, since it uses less digits than its factorization.

1300001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199784.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 1300001313 is about 36055.5309626692. The cubic root of 1300001313 is about 1091.3932504966.

Adding to 1300001313 its reverse (3131000031), we get a palindrome (4431001344).

The spelling of 1300001313 in words is "one billion, three hundred million, one thousand, three hundred thirteen".