14013041101020 has 480 divisors, whose sum is σ = 48656666919168. Its totient is φ = 3354433026048.

The previous prime is 14013041100953. The next prime is 14013041101021. The reversal of 14013041101020 is 2010114031041.

14013041101020 is a `hidden beast` number, since 140 + 13 + 0 + 411 + 0 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14013041100984 and 14013041101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013041101021) 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 159 ways as a sum of consecutive naturals, for example, 155356654 + ... + 155446826.

Almost surely, 2^{14013041101020} is an apocalyptic number.

14013041101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14013041101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24328333459584).

14013041101020 is an abundant number, since it is smaller than the sum of its proper divisors (34643625818148).

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

14013041101020 is a wasteful number, since it uses less digits than its factorization.

14013041101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90411 (or 90400 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 14013041101020 its reverse (2010114031041), we get a palindrome (16023155132061).

The spelling of 14013041101020 in words is "fourteen trillion, thirteen billion, forty-one million, one hundred one thousand, twenty".