31113031113 has 24 divisors (see below), whose sum is σ = 45403719816. Its totient is φ = 20528640000.

The previous prime is 31113031111. The next prime is 31113031127.

31113031113 is a `hidden beast` number, since 311 + 1 + 30 + 311 + 13 = 666.

31113031113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 11252329929 + 19860701184 = 106077^2 + 140928^2 .

It is not a de Polignac number, because 31113031113 - 2¹ = 31113031111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31113031111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3137463 + ... + 3147363.

It is an arithmetic number, because the mean of its divisors is an integer number (1891821659).

Almost surely, 2^31113031113 is an apocalyptic number.

It is an amenable number.

31113031113 is a deficient number, since it is larger than the sum of its proper divisors (14290688703).

31113031113 is a wasteful number, since it uses less digits than its factorization.

31113031113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13465 (or 13462 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

It can be divided in two parts, 311130 and 31113, that added together give a palindrome (342243).

The spelling of 31113031113 in words is "thirty-one billion, one hundred thirteen million, thirty-one thousand, one hundred thirteen".