13434133143431 has 48 divisors (see below), whose sum is σ = 18750163461120. Its totient is φ = 9457318825920.

The previous prime is 13434133143391. The next prime is 13434133143443.

13434133143431 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-13434133143431 is a prime.

It is a super-2 number, since 2×13434133143431² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434133140431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20066891 + ... + 20725548.

It is an arithmetic number, because the mean of its divisors is an integer number (390628405440).

Almost surely, 2^{13434133143431} is an apocalyptic number.

13434133143431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13434133143431 is a deficient number, since it is larger than the sum of its proper divisors (5316030317689).

13434133143431 is a wasteful number, since it uses less digits than its factorization.

13434133143431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40792524 (or 40792517 counting only the distinct ones).

The product of its digits is 186624, while the sum is 38.

It can be divided in two parts, 1343413 and 3143431, that added together give a palindrome (4486844).

The spelling of 13434133143431 in words is "thirteen trillion, four hundred thirty-four billion, one hundred thirty-three million, one hundred forty-three thousand, four hundred thirty-one".