30013123313 has 2 divisors, whose sum is σ = 30013123314. Its totient is φ = 30013123312.

The previous prime is 30013123307. The next prime is 30013123319. The reversal of 30013123313 is 31332131003.

It is a balanced prime because it is at equal distance from previous prime (30013123307) and next prime (30013123319).

It can be written as a sum of positive squares in only one way, i.e., 15808535824 + 14204587489 = 125732^2 + 119183^2 .

It is an emirp because it is prime and its reverse (31332131003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 30013123313 - 2⁶ = 30013123249 is a prime.

It is not a weakly prime, because it can be changed into another prime (30013123319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15006561656 + 15006561657.

It is an arithmetic number, because the mean of its divisors is an integer number (15006561657).

Almost surely, 2^30013123313 is an apocalyptic number.

It is an amenable number.

30013123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

30013123313 is an equidigital number, since it uses as much as digits as its factorization.

30013123313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 30013123313 its reverse (31332131003), we get a palindrome (61345254316).

The spelling of 30013123313 in words is "thirty billion, thirteen million, one hundred twenty-three thousand, three hundred thirteen".