1431040013 has 16 divisors (see below), whose sum is σ = 1624081536. Its totient is φ = 1250990400.

The previous prime is 1431039983. The next prime is 1431040019. The reversal of 1431040013 is 3100401341.

It is a cyclic number.

It is not a de Polignac number, because 1431040013 - 2¹⁰ = 1431038989 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1431039973 and 1431040000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431040019) 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, 6506 + ... + 53892.

It is an arithmetic number, because the mean of its divisors is an integer number (101505096).

Almost surely, 2^1431040013 is an apocalyptic number.

1431040013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1431040013 is a deficient number, since it is larger than the sum of its proper divisors (193041523).

1431040013 is a wasteful number, since it uses less digits than its factorization.

1431040013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47524.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1431040013 is about 37829.0895079435. The cubic root of 1431040013 is about 1126.8962293314.

Adding to 1431040013 its reverse (3100401341), we get a palindrome (4531441354).

The spelling of 1431040013 in words is "one billion, four hundred thirty-one million, forty thousand, thirteen".