110034141044311 has 128 divisors (see below), whose sum is σ = 128320472678400. Its totient is φ = 93471792860160.

The previous prime is 110034141044293. The next prime is 110034141044341. The reversal of 110034141044311 is 113440141430011.

It is a de Polignac number, because none of the positive numbers 2^k-110034141044311 is a prime.

It is a super-3 number, since 3×110034141044311³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 110034141044311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110034141044341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97982315596 + ... + 97982316718.

It is an arithmetic number, because the mean of its divisors is an integer number (1002503692800).

Almost surely, 2^{110034141044311} is an apocalyptic number.

110034141044311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110034141044311 is a deficient number, since it is larger than the sum of its proper divisors (18286331634089).

110034141044311 is a wasteful number, since it uses less digits than its factorization.

110034141044311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 110034141044311 its reverse (113440141430011), we get a palindrome (223474282474322).

The spelling of 110034141044311 in words is "one hundred ten trillion, thirty-four billion, one hundred forty-one million, forty-four thousand, three hundred eleven".