10311122201013 has 6 divisors (see below), whose sum is σ = 14893843179254. Its totient is φ = 6874081467336.

The previous prime is 10311122201011. The next prime is 10311122201053. The reversal of 10311122201013 is 31010222111301.

It can be written as a sum of positive squares in only one way, i.e., 9983432357649 + 327689843364 = 3159657^2 + 572442^2 .

It is not a de Polignac number, because 10311122201013 - 2¹ = 10311122201011 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311122201011) 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 5 ways as a sum of consecutive naturals, for example, 572840122270 + ... + 572840122287.

Almost surely, 2^{10311122201013} is an apocalyptic number.

It is an amenable number.

10311122201013 is a deficient number, since it is larger than the sum of its proper divisors (4582720978241).

10311122201013 is a wasteful number, since it uses less digits than its factorization.

10311122201013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145680244563 (or 1145680244560 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10311122201013 its reverse (31010222111301), we get a palindrome (41321344312314).

The spelling of 10311122201013 in words is "ten trillion, three hundred eleven billion, one hundred twenty-two million, two hundred one thousand, thirteen".