31111313121 has 12 divisors (see below), whose sum is σ = 51358358272. Its totient is φ = 17777893176.

The previous prime is 31111313111. The next prime is 31111313153. The reversal of 31111313121 is 12131311113.

31111313121 is a `hidden beast` number, since 311 + 11 + 31 + 312 + 1 = 666.

It is not a de Polignac number, because 31111313121 - 2⁷ = 31111312993 is a prime.

It is a super-3 number, since 3×31111313121³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31111313094 and 31111313103.

It is not an unprimeable number, because it can be changed into a prime (31111313111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246915121 + ... + 246915246.

Almost surely, 2^31111313121 is an apocalyptic number.

It is an amenable number.

31111313121 is a deficient number, since it is larger than the sum of its proper divisors (20247045151).

31111313121 is a wasteful number, since it uses less digits than its factorization.

31111313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493830380 (or 493830377 counting only the distinct ones).

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

Adding to 31111313121 its reverse (12131311113), we get a palindrome (43242624234).

The spelling of 31111313121 in words is "thirty-one billion, one hundred eleven million, three hundred thirteen thousand, one hundred twenty-one".