345131131543 has 16 divisors (see below), whose sum is σ = 396489715200. Its totient is φ = 297116959680.

The previous prime is 345131131523. The next prime is 345131131663.

345131131543 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-345131131543 is a prime.

It is a super-3 number, since 3×345131131543³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 345131131499 and 345131131508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345131131523) 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 15 ways as a sum of consecutive naturals, for example, 151563 + ... + 844531.

It is an arithmetic number, because the mean of its divisors is an integer number (24780607200).

Almost surely, 2^345131131543 is an apocalyptic number.

345131131543 is a deficient number, since it is larger than the sum of its proper divisors (51358583657).

345131131543 is a wasteful number, since it uses less digits than its factorization.

345131131543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695382.

The product of its digits is 32400, while the sum is 34.

It can be divided in two parts, 345131 and 131543, that added together give a palindrome (476674).

The spelling of 345131131543 in words is "three hundred forty-five billion, one hundred thirty-one million, one hundred thirty-one thousand, five hundred forty-three".