114105013033020 has 48 divisors (see below), whose sum is σ = 323993952511488. Its totient is φ = 29999440045120.

The previous prime is 114105013033001. The next prime is 114105013033021. The reversal of 114105013033020 is 20330310501411.

It is a super-2 number, since 2×114105013033020² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114105013033021) 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 15 ways as a sum of consecutive naturals, for example, 13392602904 + ... + 13392611423.

It is an arithmetic number, because the mean of its divisors is an integer number (6749874010656).

Almost surely, 2^{114105013033020} is an apocalyptic number.

114105013033020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114105013033020 is an abundant number, since it is smaller than the sum of its proper divisors (209888939478468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114105013033020 is a wasteful number, since it uses less digits than its factorization.

114105013033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26785214410 (or 26785214408 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 114105013033020 its reverse (20330310501411), we get a palindrome (134435323534431).

The spelling of 114105013033020 in words is "one hundred fourteen trillion, one hundred five billion, thirteen million, thirty-three thousand, twenty".