313211133121301 has 8 divisors (see below), whose sum is σ = 332681485622040. Its totient is φ = 293857021531648.

The previous prime is 313211133121259. The next prime is 313211133121339. The reversal of 313211133121301 is 103121331112313.

It can be written as a sum of positive squares in 4 ways, for example, as 82031241552100 + 231179891569201 = 9057110^2 + 15204601^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-313211133121301 is a prime.

It is a super-2 number, since 2×313211133121301² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313211133126301) 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 7 ways as a sum of consecutive naturals, for example, 29060222216 + ... + 29060232993.

It is an arithmetic number, because the mean of its divisors is an integer number (41585185702755).

Almost surely, 2^{313211133121301} is an apocalyptic number.

It is an amenable number.

313211133121301 is a deficient number, since it is larger than the sum of its proper divisors (19470352500739).

313211133121301 is a wasteful number, since it uses less digits than its factorization.

313211133121301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58120455543.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 313211133121301 its reverse (103121331112313), we get a palindrome (416332464233614).

The spelling of 313211133121301 in words is "three hundred thirteen trillion, two hundred eleven billion, one hundred thirty-three million, one hundred twenty-one thousand, three hundred one".