1300000311 has 24 divisors (see below), whose sum is σ = 1988488320. Its totient is φ = 816118416.

The previous prime is 1300000309. The next prime is 1300000333. The reversal of 1300000311 is 1130000031.

It is not a de Polignac number, because 1300000311 - 2¹ = 1300000309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1300000293 and 1300000302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300000301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5796 + ... + 51318.

It is an arithmetic number, because the mean of its divisors is an integer number (82853680).

Almost surely, 2^1300000311 is an apocalyptic number.

1300000311 is a deficient number, since it is larger than the sum of its proper divisors (688488009).

1300000311 is a wasteful number, since it uses less digits than its factorization.

1300000311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45715 (or 45712 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1300000311 is about 36055.5170674337. The cubic root of 1300000311 is about 1091.3929700927.

Adding to 1300000311 its reverse (1130000031), we get a palindrome (2430000342).

The spelling of 1300000311 in words is "one billion, three hundred million, three hundred eleven", and thus it is an aban number.