34130133103143 has 64 divisors (see below), whose sum is σ = 57808482278400. Its totient is φ = 17394753192960.

The previous prime is 34130133103117. The next prime is 34130133103147.

34130133103143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34130133103143 - 2⁹ = 34130133102631 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34130133103143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130133103147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 645289843 + ... + 645342731.

It is an arithmetic number, because the mean of its divisors is an integer number (903257535600).

Almost surely, 2^{34130133103143} is an apocalyptic number.

34130133103143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34130133103143 is a deficient number, since it is larger than the sum of its proper divisors (23678349175257).

34130133103143 is a wasteful number, since it uses less digits than its factorization.

34130133103143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105672.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 3413013 and 3103143, that added together give a palindrome (6516156).

The spelling of 34130133103143 in words is "thirty-four trillion, one hundred thirty billion, one hundred thirty-three million, one hundred three thousand, one hundred forty-three".