10413111120 has 160 divisors (see below), whose sum is σ = 34809022080. Its totient is φ = 2566471680.

The previous prime is 10413111119. The next prime is 10413111157. The reversal of 10413111120 is 2111131401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10413111120.

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, 159112 + ... + 214808.

It is an arithmetic number, because the mean of its divisors is an integer number (217556388).

Almost surely, 2^10413111120 is an apocalyptic number.

10413111120 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 10413111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17404511040).

10413111120 is an abundant number, since it is smaller than the sum of its proper divisors (24395910960).

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

10413111120 is a wasteful number, since it uses less digits than its factorization.

10413111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55773 (or 55767 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10413111120 its reverse (2111131401), we get a palindrome (12524242521).

The spelling of 10413111120 in words is "ten billion, four hundred thirteen million, one hundred eleven thousand, one hundred twenty".