10001311233313 has 16 divisors (see below), whose sum is σ = 10630411681536. Its totient is φ = 9376753985280.

The previous prime is 10001311233281. The next prime is 10001311233323. The reversal of 10001311233313 is 31333211310001.

It is not a de Polignac number, because 10001311233313 - 2⁵ = 10001311233281 is a prime.

It is a super-2 number, since 2×10001311233313² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10001311233323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28958395 + ... + 29301727.

It is an arithmetic number, because the mean of its divisors is an integer number (664400730096).

Almost surely, 2^{10001311233313} is an apocalyptic number.

It is an amenable number.

10001311233313 is a deficient number, since it is larger than the sum of its proper divisors (629100448223).

10001311233313 is a wasteful number, since it uses less digits than its factorization.

10001311233313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349944.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 10001311233313 its reverse (31333211310001), we get a palindrome (41334522543314).

The spelling of 10001311233313 in words is "ten trillion, one billion, three hundred eleven million, two hundred thirty-three thousand, three hundred thirteen".