13403431041 has 192 divisors, whose sum is σ = 26432824320. Its totient is φ = 5917847040.

The previous prime is 13403431021. The next prime is 13403431051. The reversal of 13403431041 is 14013430431.

It is not a de Polignac number, because 13403431041 - 2⁵ = 13403431009 is a prime.

It is a super-3 number, since 3×13403431041³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13403431021) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 14777310 + ... + 14778216.

It is an arithmetic number, because the mean of its divisors is an integer number (137670960).

Almost surely, 2^13403431041 is an apocalyptic number.

13403431041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13403431041 is a deficient number, since it is larger than the sum of its proper divisors (13029393279).

13403431041 is a wasteful number, since it uses less digits than its factorization.

13403431041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13403431041 its reverse (14013430431), we get a palindrome (27416861472).

It can be divided in two parts, 13403 and 431041, that added together give a palindrome (444444).

The spelling of 13403431041 in words is "thirteen billion, four hundred three million, four hundred thirty-one thousand, forty-one".