311000013 has 16 divisors (see below), whose sum is σ = 464373760. Its totient is φ = 205698528.

The previous prime is 310999993. The next prime is 311000077. The reversal of 311000013 is 310000113.

It is not a de Polignac number, because 311000013 - 2⁸ = 310999757 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 310999959 and 311000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311000713) 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, 41920 + ... + 48777.

It is an arithmetic number, because the mean of its divisors is an integer number (29023360).

Almost surely, 2^311000013 is an apocalyptic number.

It is an amenable number.

311000013 is a deficient number, since it is larger than the sum of its proper divisors (153373747).

311000013 is a wasteful number, since it uses less digits than its factorization.

311000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90833 (or 90827 counting only the distinct ones).

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

The square root of 311000013 is about 17635.1924571296. The cubic root of 311000013 is about 677.5169046675.

Adding to 311000013 its reverse (310000113), we get a palindrome (621000126).

The spelling of 311000013 in words is "three hundred eleven million, thirteen", and thus it is an aban number.