13110331024120 has 128 divisors (see below), whose sum is σ = 32990611046400. Its totient is φ = 4647470515200.

The previous prime is 13110331024117. The next prime is 13110331024121. The reversal of 13110331024120 is 2142013301131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13110331024091 and 13110331024100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110331024121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22789057 + ... + 23357263.

It is an arithmetic number, because the mean of its divisors is an integer number (257739148800).

Almost surely, 2^{13110331024120} is an apocalyptic number.

13110331024120 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 13110331024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16495305523200).

13110331024120 is an abundant number, since it is smaller than the sum of its proper divisors (19880280022280).

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

13110331024120 is a wasteful number, since it uses less digits than its factorization.

13110331024120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569549 (or 569545 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13110331024120 its reverse (2142013301131), we get a palindrome (15252344325251).

The spelling of 13110331024120 in words is "thirteen trillion, one hundred ten billion, three hundred thirty-one million, twenty-four thousand, one hundred twenty".