103111312032 has 72 divisors (see below), whose sum is σ = 310471207956. Its totient is φ = 32348645376.

The previous prime is 103111312013. The next prime is 103111312033. The reversal of 103111312032 is 230213111301.

103111312032 is a `hidden beast` number, since 10 + 311 + 1 + 312 + 0 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102525478416 + 585833616 = 320196^2 + 24204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103111311996 and 103111312014.

It is not an unprimeable number, because it can be changed into a prime (103111312033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10525263 + ... + 10535054.

Almost surely, 2^103111312032 is an apocalyptic number.

103111312032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103111312032 is an abundant number, since it is smaller than the sum of its proper divisors (207359895924).

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

103111312032 is a wasteful number, since it uses less digits than its factorization.

103111312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21060350 (or 21060339 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103111312032 its reverse (230213111301), we get a palindrome (333324423333).

The spelling of 103111312032 in words is "one hundred three billion, one hundred eleven million, three hundred twelve thousand, thirty-two".