13431131753 has 8 divisors (see below), whose sum is σ = 14466040008. Its totient is φ = 12396472704.

The previous prime is 13431131729. The next prime is 13431131797. The reversal of 13431131753 is 35713113431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 89264704 + 13341867049 = 9448^2 + 115507^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13431131753 - 2⁶ = 13431131689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13431131053) 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, 58301 + ... + 173957.

It is an arithmetic number, because the mean of its divisors is an integer number (1808255001).

Almost surely, 2^13431131753 is an apocalyptic number.

13431131753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13431131753 is a deficient number, since it is larger than the sum of its proper divisors (1034908255).

13431131753 is a wasteful number, since it uses less digits than its factorization.

13431131753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124603.

The product of its digits is 11340, while the sum is 32.

The spelling of 13431131753 in words is "thirteen billion, four hundred thirty-one million, one hundred thirty-one thousand, seven hundred fifty-three".