31113002101312 has 56 divisors (see below), whose sum is σ = 61947987962552. Its totient is φ = 15504077721600.

The previous prime is 31113002101273. The next prime is 31113002101319. The reversal of 31113002101312 is 21310120031113.

It can be written as a sum of positive squares in 4 ways, for example, as 2633531769856 + 28479470331456 = 1622816^2 + 5336616^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31113002101312.

It is not an unprimeable number, because it can be changed into a prime (31113002101319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116472862 + ... + 116739682.

Almost surely, 2^{31113002101312} is an apocalyptic number.

31113002101312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31113002101312 is a deficient number, since it is larger than the sum of its proper divisors (30834985861240).

31113002101312 is a wasteful number, since it uses less digits than its factorization.

31113002101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272967 (or 272957 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 31113002101312 its reverse (21310120031113), we get a palindrome (52423122132425).

The spelling of 31113002101312 in words is "thirty-one trillion, one hundred thirteen billion, two million, one hundred one thousand, three hundred twelve".