10120011311 has 32 divisors (see below), whose sum is σ = 11052288000. Its totient is φ = 9231505920.

The previous prime is 10120011299. The next prime is 10120011313. The reversal of 10120011311 is 11311002101.

It is a happy number.

It is not a de Polignac number, because 10120011311 - 2²² = 10115817007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10120011292 and 10120011301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120011313) 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 31 ways as a sum of consecutive naturals, for example, 20610776 + ... + 20611266.

It is an arithmetic number, because the mean of its divisors is an integer number (345384000).

Almost surely, 2^10120011311 is an apocalyptic number.

10120011311 is a deficient number, since it is larger than the sum of its proper divisors (932276689).

10120011311 is a wasteful number, since it uses less digits than its factorization.

10120011311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10120011311 its reverse (11311002101), we get a palindrome (21431013412).

The spelling of 10120011311 in words is "ten billion, one hundred twenty million, eleven thousand, three hundred eleven".