10141110121320 has 128 divisors (see below), whose sum is σ = 34279809120000. Its totient is φ = 2666207335680.

The previous prime is 10141110121283. The next prime is 10141110121367. The reversal of 10141110121320 is 2312101114101.

10141110121320 is a `hidden beast` number, since 10 + 1 + 411 + 10 + 1 + 213 + 20 = 666.

It is a super-2 number, since 2×10141110121320² (a number of 27 digits) contains 22 as substring.

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 = 10141110121293 and 10141110121302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66049495 + ... + 66202854.

It is an arithmetic number, because the mean of its divisors is an integer number (267811008750).

Almost surely, 2^{10141110121320} is an apocalyptic number.

10141110121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141110121320 is an abundant number, since it is smaller than the sum of its proper divisors (24138698998680).

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

10141110121320 is a wasteful number, since it uses less digits than its factorization.

10141110121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132252440 (or 132252430 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10141110121320 its reverse (2312101114101), we get a palindrome (12453211235421).

The spelling of 10141110121320 in words is "ten trillion, one hundred forty-one billion, one hundred ten million, one hundred twenty-one thousand, three hundred twenty".