13431014041004 has 24 divisors (see below), whose sum is σ = 26864245282560. Its totient is φ = 5755673760336.

The previous prime is 13431014040971. The next prime is 13431014041009. The reversal of 13431014041004 is 40014041013431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13431014041009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19451042 + ... + 20129705.

It is an arithmetic number, because the mean of its divisors is an integer number (1119343553440).

Almost surely, 2^{13431014041004} is an apocalyptic number.

13431014041004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13431014041004 is an abundant number, since it is smaller than the sum of its proper divisors (13433231241556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13431014041004 is a wasteful number, since it uses less digits than its factorization.

13431014041004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39592877 (or 39592875 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 13431014041004 its reverse (40014041013431), we get a palindrome (53445055054435).

The spelling of 13431014041004 in words is "thirteen trillion, four hundred thirty-one billion, fourteen million, forty-one thousand, four".