1003310131122 has 96 divisors (see below), whose sum is σ = 2519245929600. Its totient is φ = 295288538688.

The previous prime is 1003310131093. The next prime is 1003310131129. The reversal of 1003310131122 is 2211310133001.

1003310131122 is a `hidden beast` number, since 1 + 0 + 0 + 331 + 0 + 1 + 311 + 22 = 666.

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 = 1003310131095 and 1003310131104.

It is not an unprimeable number, because it can be changed into a prime (1003310131129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2180097 + ... + 2599892.

It is an arithmetic number, because the mean of its divisors is an integer number (26242145100).

Almost surely, 2^{1003310131122} is an apocalyptic number.

1003310131122 is an abundant number, since it is smaller than the sum of its proper divisors (1515935798478).

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

1003310131122 is a wasteful number, since it uses less digits than its factorization.

1003310131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780049 (or 4780030 counting only the distinct ones).

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

Adding to 1003310131122 its reverse (2211310133001), we get a palindrome (3214620264123).

The spelling of 1003310131122 in words is "one trillion, three billion, three hundred ten million, one hundred thirty-one thousand, one hundred twenty-two".