13431303840 has 96 divisors (see below), whose sum is σ = 42325730496. Its totient is φ = 3580231680.

The previous prime is 13431303817. The next prime is 13431303863. The reversal of 13431303840 is 4830313431.

It is an interprime number because it is at equal distance from previous prime (13431303817) and next prime (13431303863).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13431303798 and 13431303807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1744800 + ... + 1752480.

It is an arithmetic number, because the mean of its divisors is an integer number (440893026).

Almost surely, 2^13431303840 is an apocalyptic number.

13431303840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13431303840 is an abundant number, since it is smaller than the sum of its proper divisors (28894426656).

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

13431303840 is a wasteful number, since it uses less digits than its factorization.

13431303840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11342 (or 11334 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 13431303840 in words is "thirteen billion, four hundred thirty-one million, three hundred three thousand, eight hundred forty".