10311104333231 has 64 divisors (see below), whose sum is σ = 12128661135360. Its totient is φ = 8683998336000.

The previous prime is 10311104333209. The next prime is 10311104333251. The reversal of 10311104333231 is 13233340111301.

It is a happy number.

It is not a de Polignac number, because 10311104333231 - 2¹⁸ = 10311104071087 is a prime.

It is a super-2 number, since 2×10311104333231² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10311104333231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311104333251) 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 63 ways as a sum of consecutive naturals, for example, 253367321 + ... + 253408013.

It is an arithmetic number, because the mean of its divisors is an integer number (189510330240).

Almost surely, 2^{10311104333231} is an apocalyptic number.

10311104333231 is a deficient number, since it is larger than the sum of its proper divisors (1817556802129).

10311104333231 is a wasteful number, since it uses less digits than its factorization.

10311104333231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41088.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 10311104333231 its reverse (13233340111301), we get a palindrome (23544444444532).

The spelling of 10311104333231 in words is "ten trillion, three hundred eleven billion, one hundred four million, three hundred thirty-three thousand, two hundred thirty-one".