13503401331 has 64 divisors (see below), whose sum is σ = 21581952000. Its totient is φ = 7503971328.

The previous prime is 13503401309. The next prime is 13503401357. The reversal of 13503401331 is 13310430531.

It is not a de Polignac number, because 13503401331 - 2¹⁷ = 13503270259 is a prime.

It is a super-2 number, since 2×13503401331² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13503400331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5887821 + ... + 5890113.

It is an arithmetic number, because the mean of its divisors is an integer number (337218000).

Almost surely, 2^13503401331 is an apocalyptic number.

13503401331 is a deficient number, since it is larger than the sum of its proper divisors (8078550669).

13503401331 is an equidigital number, since it uses as much as digits as its factorization.

13503401331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 13503401331 its reverse (13310430531), we get a palindrome (26813831862).

The spelling of 13503401331 in words is "thirteen billion, five hundred three million, four hundred one thousand, three hundred thirty-one".