113313030000301 has 2 divisors, whose sum is σ = 113313030000302. Its totient is φ = 113313030000300.

The previous prime is 113313030000229. The next prime is 113313030000311. The reversal of 113313030000301 is 103000030313311.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72094126162276 + 41218903838025 = 8490826^2 + 6420195^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-113313030000301 is a prime.

It is a super-2 number, since 2×113313030000301² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113313030000311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56656515000150 + 56656515000151.

It is an arithmetic number, because the mean of its divisors is an integer number (56656515000151).

Almost surely, 2^{113313030000301} is an apocalyptic number.

It is an amenable number.

113313030000301 is a deficient number, since it is larger than the sum of its proper divisors (1).

113313030000301 is an equidigital number, since it uses as much as digits as its factorization.

113313030000301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 113313030000301 its reverse (103000030313311), we get a palindrome (216313060313612).

The spelling of 113313030000301 in words is "one hundred thirteen trillion, three hundred thirteen billion, thirty million, three hundred one", and thus it is an aban number.