1003431311 has 8 divisors (see below), whose sum is σ = 1012874544. Its totient is φ = 994015360.

The previous prime is 1003431293. The next prime is 1003431323. The reversal of 1003431311 is 1131343001.

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 1003431311 - 2²² = 999237007 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1003431311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003431371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71225 + ... + 84141.

It is an arithmetic number, because the mean of its divisors is an integer number (126609318).

Almost surely, 2^1003431311 is an apocalyptic number.

1003431311 is a deficient number, since it is larger than the sum of its proper divisors (9443233).

1003431311 is a wasteful number, since it uses less digits than its factorization.

1003431311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13641.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1003431311 is about 31676.9839315551. The cubic root of 1003431311 is about 1001.1424646109.

Adding to 1003431311 its reverse (1131343001), we get a palindrome (2134774312).

The spelling of 1003431311 in words is "one billion, three million, four hundred thirty-one thousand, three hundred eleven".