4101112131320 has 128 divisors (see below), whose sum is σ = 9617749954560. Its totient is φ = 1572107335680.

The previous prime is 4101112131269. The next prime is 4101112131349. The reversal of 4101112131320 is 231312111014.

It is a super-3 number, since 3×4101112131320³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4101112131292 and 4101112131301.

It is a congruent number.

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, 575429597 + ... + 575436723.

It is an arithmetic number, because the mean of its divisors is an integer number (75138671520).

Almost surely, 2^{4101112131320} is an apocalyptic number.

4101112131320 is a gapful number since it is divisible by the number (40) 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 4101112131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808874977280).

4101112131320 is an abundant number, since it is smaller than the sum of its proper divisors (5516637823240).

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

4101112131320 is a wasteful number, since it uses less digits than its factorization.

4101112131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11613 (or 11609 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 4101112131320 its reverse (231312111014), we get a palindrome (4332424242334).

The spelling of 4101112131320 in words is "four trillion, one hundred one billion, one hundred twelve million, one hundred thirty-one thousand, three hundred twenty".