311513 has 4 divisors (see below), whose sum is σ = 313728. Its totient is φ = 309300.

The previous prime is 311473. The next prime is 311533. The reversal of 311513 is 315113.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 315113 = 139 ⋅2267.

It is a cyclic number.

It is not a de Polignac number, because 311513 - 2¹⁰ = 310489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 881 + ... + 1182.

It is an arithmetic number, because the mean of its divisors is an integer number (78432).

2³¹¹⁵¹³ is an apocalyptic number.

It is an amenable number.

311513 is a deficient number, since it is larger than the sum of its proper divisors (2215).

311513 is a wasteful number, since it uses less digits than its factorization.

311513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214.

The product of its digits is 45, while the sum is 14.

The square root of 311513 is about 558.1334965759. The cubic root of 311513 is about 67.7889215953.

Adding to 311513 its reverse (315113), we get a palindrome (626626).

Subtracting 311513 from its reverse (315113), we obtain a square (3600 = 60²).

The spelling of 311513 in words is "three hundred eleven thousand, five hundred thirteen".