311013 has 8 divisors (see below), whose sum is σ = 460800. Its totient is φ = 207324.

The previous prime is 311009. The next prime is 311021. The reversal of 311013 is 310113.

It is not a de Polignac number, because 311013 - 2² = 311009 is a prime.

It is a super-4 number, since 4×311013⁴ (a number of 23 digits) contains 4444 as substring.

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 = 310986 and 311004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5733 + ... + 5786.

It is an arithmetic number, because the mean of its divisors is an integer number (57600).

2³¹¹⁰¹³ is an apocalyptic number.

It is an amenable number.

311013 is a deficient number, since it is larger than the sum of its proper divisors (149787).

311013 is a wasteful number, since it uses less digits than its factorization.

311013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11528 (or 11522 counting only the distinct ones).

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

The square root of 311013 is about 557.6853951826. The cubic root of 311013 is about 67.7526335310.

Adding to 311013 its reverse (310113), we get a palindrome (621126).

Subtracting from 311013 its reverse (310113), we obtain a square (900 = 30²).

The spelling of 311013 in words is "three hundred eleven thousand, thirteen".