31111000011113 has 16 divisors (see below), whose sum is σ = 34135027750080. Its totient is φ = 28119872524800.

The previous prime is 31111000011083. The next prime is 31111000011137.

31111000011113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31111000011113 - 2¹⁶ = 31110999945577 is a prime.

It is a super-2 number, since 2×31111000011113² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31111000011163) 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, 4592228 + ... + 9127461.

It is an arithmetic number, because the mean of its divisors is an integer number (2133439234380).

Almost surely, 2^{31111000011113} is an apocalyptic number.

It is an amenable number.

31111000011113 is a deficient number, since it is larger than the sum of its proper divisors (3024027738967).

31111000011113 is a wasteful number, since it uses less digits than its factorization.

31111000011113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13720888.

The product of its (nonzero) digits is 9, while the sum is 14.

It can be divided in two parts, 311110000 and 11113, that added together give a palindrome (311121113).

The spelling of 31111000011113 in words is "thirty-one trillion, one hundred eleven billion, eleven thousand, one hundred thirteen".