110312133131034 has 12 divisors (see below), whose sum is σ = 239009621783946. Its totient is φ = 36770711043672.

The previous prime is 110312133131029. The next prime is 110312133131047. The reversal of 110312133131034 is 430131331213011.

110312133131034 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 12 + 1 + 331 + 310 + 3 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63740311965009 + 46571821166025 = 7983753^2 + 6824355^2 .

It is a super-3 number, since 3×110312133131034³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110312133130989 and 110312133131007.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3064225920289 + ... + 3064225920324.

Almost surely, 2^{110312133131034} is an apocalyptic number.

110312133131034 is an abundant number, since it is smaller than the sum of its proper divisors (128697488652912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110312133131034 is a wasteful number, since it uses less digits than its factorization.

110312133131034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6128451840621 (or 6128451840618 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 110312133131034 its reverse (430131331213011), we get a palindrome (540443464344045).

The spelling of 110312133131034 in words is "one hundred ten trillion, three hundred twelve billion, one hundred thirty-three million, one hundred thirty-one thousand, thirty-four".