10111310322311 has 16 divisors (see below), whose sum is σ = 11188292997888. Its totient is φ = 9060678950400.

The previous prime is 10111310322287. The next prime is 10111310322343. The reversal of 10111310322311 is 11322301311101.

It is not a de Polignac number, because 10111310322311 - 2³⁸ = 9836432415367 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111310322371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2231975 + ... + 5020391.

It is an arithmetic number, because the mean of its divisors is an integer number (699268312368).

Almost surely, 2^{10111310322311} is an apocalyptic number.

10111310322311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10111310322311 is a deficient number, since it is larger than the sum of its proper divisors (1076982675577).

10111310322311 is a wasteful number, since it uses less digits than its factorization.

10111310322311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793142.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 10111310322311 its reverse (11322301311101), we get a palindrome (21433611633412).

The spelling of 10111310322311 in words is "ten trillion, one hundred eleven billion, three hundred ten million, three hundred twenty-two thousand, three hundred eleven".