1003431033413 has 8 divisors (see below), whose sum is σ = 1013821961880. Its totient is φ = 993041049600.

The previous prime is 1003431033389. The next prime is 1003431033421. The reversal of 1003431033413 is 3143301343001.

It can be written as a sum of positive squares in 4 ways, for example, as 415415053729 + 588015979684 = 644527^2 + 766822^2 .

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 1003431033413 - 2¹⁰ = 1003431032389 is a prime.

It is a super-2 number, since 2×1003431033413² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003431033443) 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, 2009213 + ... + 2458413.

It is an arithmetic number, because the mean of its divisors is an integer number (126727745235).

Almost surely, 2^{1003431033413} is an apocalyptic number.

It is an amenable number.

1003431033413 is a deficient number, since it is larger than the sum of its proper divisors (10390928467).

1003431033413 is an equidigital number, since it uses as much as digits as its factorization.

1003431033413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472327.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 1003431033413 its reverse (3143301343001), we get a palindrome (4146732376414).

The spelling of 1003431033413 in words is "one trillion, three billion, four hundred thirty-one million, thirty-three thousand, four hundred thirteen".