313301213123301 has 96 divisors (see below), whose sum is σ = 497881760882688. Its totient is φ = 188676419057280.

The previous prime is 313301213123281. The next prime is 313301213123347. The reversal of 313301213123301 is 103321312103313.

313301213123301 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 0 + 12 + 1 + 312 + 330 + 1 = 666.

It is not a de Polignac number, because 313301213123301 - 2¹⁵ = 313301213090533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313301213223301) 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 in 95 ways as a sum of consecutive naturals, for example, 2286951916 + ... + 2287088906.

It is an arithmetic number, because the mean of its divisors is an integer number (5186268342528).

Almost surely, 2^{313301213123301} is an apocalyptic number.

It is an amenable number.

313301213123301 is a deficient number, since it is larger than the sum of its proper divisors (184580547759387).

313301213123301 is a wasteful number, since it uses less digits than its factorization.

313301213123301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138991 (or 138988 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 313301213123301 its reverse (103321312103313), we get a palindrome (416622525226614).

The spelling of 313301213123301 in words is "three hundred thirteen trillion, three hundred one billion, two hundred thirteen million, one hundred twenty-three thousand, three hundred one".