31121131113 has 6 divisors (see below), whose sum is σ = 44952744954. Its totient is φ = 20747420736.

The previous prime is 31121131099. The next prime is 31121131123. The reversal of 31121131113 is 31113112113.

31121131113 is a `hidden beast` number, since 311 + 211 + 31 + 113 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16576047504 + 14545083609 = 128748^2 + 120603^2 .

It is not a de Polignac number, because 31121131113 - 2⁵ = 31121131081 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31121131123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1728951720 + ... + 1728951737.

It is an arithmetic number, because the mean of its divisors is an integer number (7492124159).

Almost surely, 2^31121131113 is an apocalyptic number.

It is an amenable number.

31121131113 is a deficient number, since it is larger than the sum of its proper divisors (13831613841).

31121131113 is a wasteful number, since it uses less digits than its factorization.

31121131113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457903463 (or 3457903460 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 31121131113 its reverse (31113112113), we get a palindrome (62234243226).

It can be divided in two parts, 3112 and 1131113, that added together give a square (1134225 = 1065²).

The spelling of 31121131113 in words is "thirty-one billion, one hundred twenty-one million, one hundred thirty-one thousand, one hundred thirteen".