10005331431 has 24 divisors (see below), whose sum is σ = 13897461232. Its totient is φ = 6398179200.

The previous prime is 10005331409. The next prime is 10005331439. The reversal of 10005331431 is 13413350001.

It is not a de Polignac number, because 10005331431 - 2²¹ = 10003234279 is a prime.

It is a super-2 number, since 2×10005331431² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10005331398 and 10005331407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005331439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 550611 + ... + 568491.

Almost surely, 2^10005331431 is an apocalyptic number.

10005331431 is a deficient number, since it is larger than the sum of its proper divisors (3892129801).

10005331431 is an equidigital number, since it uses as much as digits as its factorization.

10005331431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18063 (or 17992 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 10005331431 its reverse (13413350001), we get a palindrome (23418681432).

The spelling of 10005331431 in words is "ten billion, five million, three hundred thirty-one thousand, four hundred thirty-one".