34131344313143 has 48 divisors (see below), whose sum is σ = 46142203443840. Its totient is φ = 24892503249600.

The previous prime is 34131344313109. The next prime is 34131344313193.

34131344313143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34131344313143 - 2¹⁴ = 34131344296759 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34131344313097 and 34131344313106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131344313193) 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, 19227188 + ... + 20927193.

It is an arithmetic number, because the mean of its divisors is an integer number (961295905080).

Almost surely, 2^{34131344313143} is an apocalyptic number.

34131344313143 is a deficient number, since it is larger than the sum of its proper divisors (12010859130697).

34131344313143 is a wasteful number, since it uses less digits than its factorization.

34131344313143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40154508 (or 40154501 counting only the distinct ones).

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

It can be divided in two parts, 3413134 and 4313143, that added together give a palindrome (7726277).

The spelling of 34131344313143 in words is "thirty-four trillion, one hundred thirty-one billion, three hundred forty-four million, three hundred thirteen thousand, one hundred forty-three".