30313 has 2 divisors, whose sum is σ = 30314. Its totient is φ = 30312.

The previous prime is 30307. The next prime is 30319. The reversal of 30313 is 31303.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (30307) and next prime (30319).

It can be written as a sum of positive squares in only one way, i.e., 29584 + 729 = 172^2 + 27^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-30313 is a prime.

30313 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 30313.

It is not a weakly prime, because it can be changed into another prime (30319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15156 + 15157.

It is an arithmetic number, because the mean of its divisors is an integer number (15157).

2³⁰³¹³ is an apocalyptic number.

It is an amenable number.

30313 is a deficient number, since it is larger than the sum of its proper divisors (1).

30313 is an equidigital number, since it uses as much as digits as its factorization.

30313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 30313 is about 174.1062893752. The cubic root of 30313 is about 31.1800140466.

Subtracting from 30313 its sum of digits (10), we obtain a palindrome (30303).

Adding to 30313 its reverse (31303), we get a palindrome (61616).

Subtracting 30313 from its reverse (31303), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 30 and 313, that added together give a palindrome (343).

The spelling of 30313 in words is "thirty thousand, three hundred thirteen".