31143111134113 has 24 divisors (see below), whose sum is σ = 34344381695400. Its totient is φ = 28218735283200.

The previous prime is 31143111134111. The next prime is 31143111134159.

31143111134113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 137279883169 + 31005831250944 = 370513^2 + 5568288^2 .

It is not a de Polignac number, because 31143111134113 - 2¹ = 31143111134111 is a prime.

It is a super-2 number, since 2×31143111134113² (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 (31143111134111) 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 23 ways as a sum of consecutive naturals, for example, 300705463 + ... + 300809011.

It is an arithmetic number, because the mean of its divisors is an integer number (1431015903975).

Almost surely, 2^{31143111134113} is an apocalyptic number.

It is an amenable number.

31143111134113 is a deficient number, since it is larger than the sum of its proper divisors (3201270561287).

31143111134113 is a wasteful number, since it uses less digits than its factorization.

31143111134113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111729 (or 111718 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

It can be divided in two parts, 3114311 and 1134113, that added together give a palindrome (4248424).

The spelling of 31143111134113 in words is "thirty-one trillion, one hundred forty-three billion, one hundred eleven million, one hundred thirty-four thousand, one hundred thirteen".