10001022112313 has 32 divisors (see below), whose sum is σ = 10468775759904. Its totient is φ = 9545036800000.

The previous prime is 10001022112261. The next prime is 10001022112391. The reversal of 10001022112313 is 31321122010001.

It can be written as a sum of positive squares in 16 ways, for example, as 397791319849 + 9603230792464 = 630707^2 + 3098908^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001022112313 - 2¹⁴ = 10001022095929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001022112291 and 10001022112300.

It is not an unprimeable number, because it can be changed into a prime (10001022118313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1724014013 + ... + 1724019813.

It is an arithmetic number, because the mean of its divisors is an integer number (327149242497).

Almost surely, 2^{10001022112313} is an apocalyptic number.

It is an amenable number.

10001022112313 is a deficient number, since it is larger than the sum of its proper divisors (467753647591).

10001022112313 is a wasteful number, since it uses less digits than its factorization.

10001022112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8077.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10001022112313 its reverse (31321122010001), we get a palindrome (41322144122314).

The spelling of 10001022112313 in words is "ten trillion, one billion, twenty-two million, one hundred twelve thousand, three hundred thirteen".