1003113121331 has 16 divisors (see below), whose sum is σ = 1040639201280. Its totient is φ = 966224354880.

The previous prime is 1003113121321. The next prime is 1003113121337. The reversal of 1003113121331 is 1331213113001.

1003113121331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1003113121331 - 2¹⁰ = 1003113120307 is a prime.

It is a super-2 number, since 2×1003113121331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003113121337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5155310 + ... + 5346348.

It is an arithmetic number, because the mean of its divisors is an integer number (65039950080).

Almost surely, 2^{1003113121331} is an apocalyptic number.

1003113121331 is a deficient number, since it is larger than the sum of its proper divisors (37526079949).

1003113121331 is a wasteful number, since it uses less digits than its factorization.

1003113121331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192706.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1003113121331 its reverse (1331213113001), we get a palindrome (2334326234332).

The spelling of 1003113121331 in words is "one trillion, three billion, one hundred thirteen million, one hundred twenty-one thousand, three hundred thirty-one".