34133100133143 has 32 divisors (see below), whose sum is σ = 51858793059840. Its totient is φ = 19779475443840.

The previous prime is 34133100133141. The next prime is 34133100133193.

34133100133143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34133100133143 - 2¹ = 34133100133141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34133100133143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34133100133141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173041096 + ... + 173238237.

It is an arithmetic number, because the mean of its divisors is an integer number (1620587283120).

Almost surely, 2^{34133100133143} is an apocalyptic number.

34133100133143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34133100133143 is a deficient number, since it is larger than the sum of its proper divisors (17725692926697).

34133100133143 is a wasteful number, since it uses less digits than its factorization.

34133100133143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346279479.

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

It can be divided in two parts, 34133100 and 133143, that added together give a palindrome (34266243).

The spelling of 34133100133143 in words is "thirty-four trillion, one hundred thirty-three billion, one hundred million, one hundred thirty-three thousand, one hundred forty-three".