313123200000301 has 2 divisors, whose sum is σ = 313123200000302. Its totient is φ = 313123200000300.

The previous prime is 313123200000293. The next prime is 313123200000419. The reversal of 313123200000301 is 103000002321313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 293611994712100 + 19511205288201 = 17135110^2 + 4417149^2 .

It is an emirp because it is prime and its reverse (103000002321313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313123200000301 - 2³ = 313123200000293 is a prime.

It is a super-2 number, since 2×313123200000301² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313123200010301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156561600000150 + 156561600000151.

It is an arithmetic number, because the mean of its divisors is an integer number (156561600000151).

Almost surely, 2^{313123200000301} is an apocalyptic number.

It is an amenable number.

313123200000301 is a deficient number, since it is larger than the sum of its proper divisors (1).

313123200000301 is an equidigital number, since it uses as much as digits as its factorization.

313123200000301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 313123200000301 its reverse (103000002321313), we get a palindrome (416123202321614).

The spelling of 313123200000301 in words is "three hundred thirteen trillion, one hundred twenty-three billion, two hundred million, three hundred one", and thus it is an aban number.