10311012211311 has 36 divisors (see below), whose sum is σ = 17325538225632. Its totient is φ = 5891928081984.

The previous prime is 10311012211303. The next prime is 10311012211327. The reversal of 10311012211311 is 11311221011301.

10311012211311 is a `hidden beast` number, since 1 + 0 + 31 + 101 + 221 + 1 + 311 = 666.

It is not a de Polignac number, because 10311012211311 - 2³ = 10311012211303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311012213311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54155466 + ... + 54345528.

It is an arithmetic number, because the mean of its divisors is an integer number (481264950712).

Almost surely, 2^{10311012211311} is an apocalyptic number.

10311012211311 is a deficient number, since it is larger than the sum of its proper divisors (7014526014321).

10311012211311 is a wasteful number, since it uses less digits than its factorization.

10311012211311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313100 (or 313090 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 10311012211311 its reverse (11311221011301), we get a palindrome (21622233222612).

The spelling of 10311012211311 in words is "ten trillion, three hundred eleven billion, twelve million, two hundred eleven thousand, three hundred eleven".