10120113311 has 16 divisors (see below), whose sum is σ = 13359479040. Its totient is φ = 7421930880.

The previous prime is 10120113307. The next prime is 10120113313. The reversal of 10120113311 is 11331102101.

It is a happy number.

10120113311 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10120113311 - 2² = 10120113307 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 (10120113313) 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, 3864281 + ... + 3866898.

It is an arithmetic number, because the mean of its divisors is an integer number (834967440).

Almost surely, 2^10120113311 is an apocalyptic number.

10120113311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120113311 is a deficient number, since it is larger than the sum of its proper divisors (3239365729).

10120113311 is a wasteful number, since it uses less digits than its factorization.

10120113311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7731214.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10120113311 its reverse (11331102101), we get a palindrome (21451215412).

The spelling of 10120113311 in words is "ten billion, one hundred twenty million, one hundred thirteen thousand, three hundred eleven".