31431434424013 has 6 divisors (see below), whose sum is σ = 34035221891274. Its totient is φ = 29013631775856.

The previous prime is 31431434423989. The next prime is 31431434424053. The reversal of 31431434424013 is 31042443413413.

It can be written as a sum of positive squares in 3 ways, for example, as 34889383369 + 31396545040644 = 186787^2 + 5603262^2 .

It is not a de Polignac number, because 31431434424013 - 2¹⁷ = 31431434292941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31431434424053) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92992409370 + ... + 92992409707.

It is an arithmetic number, because the mean of its divisors is an integer number (5672536981879).

Almost surely, 2^{31431434424013} is an apocalyptic number.

It is an amenable number.

31431434424013 is a deficient number, since it is larger than the sum of its proper divisors (2603787467261).

31431434424013 is a wasteful number, since it uses less digits than its factorization.

31431434424013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185984819103 (or 185984819090 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 31431434424013 its reverse (31042443413413), we get a palindrome (62473877837426).

The spelling of 31431434424013 in words is "thirty-one trillion, four hundred thirty-one billion, four hundred thirty-four million, four hundred twenty-four thousand, thirteen".