1003131121 has 8 divisors (see below), whose sum is σ = 1062780264. Its totient is φ = 943553280.

The previous prime is 1003131119. The next prime is 1003131149. The reversal of 1003131121 is 1211313001.

It can be written as a sum of positive squares in 4 ways, for example, as 87160896 + 915970225 = 9336^2 + 30265^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1003131121 - 2¹ = 1003131119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003131191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12651 + ... + 46543.

It is an arithmetic number, because the mean of its divisors is an integer number (132847533).

Almost surely, 2^1003131121 is an apocalyptic number.

It is an amenable number.

1003131121 is a deficient number, since it is larger than the sum of its proper divisors (59649143).

1003131121 is a wasteful number, since it uses less digits than its factorization.

1003131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35651.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1003131121 is about 31672.2452787926. The cubic root of 1003131121 is about 1001.0426195666.

Adding to 1003131121 its reverse (1211313001), we get a palindrome (2214444122).

The spelling of 1003131121 in words is "one billion, three million, one hundred thirty-one thousand, one hundred twenty-one".