10313101111120 has 80 divisors (see below), whose sum is σ = 24205819299840. Its totient is φ = 4086143857152.

The previous prime is 10313101111087. The next prime is 10313101111121. The reversal of 10313101111120 is 2111110131301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10313101111094 and 10313101111103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10313101111121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5469114 + ... + 7108966.

It is an arithmetic number, because the mean of its divisors is an integer number (302572741248).

Almost surely, 2^{10313101111120} is an apocalyptic number.

10313101111120 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 10313101111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12102909649920).

10313101111120 is an abundant number, since it is smaller than the sum of its proper divisors (13892718188720).

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

10313101111120 is a wasteful number, since it uses less digits than its factorization.

10313101111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640612 (or 1640606 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 10313101111120 its reverse (2111110131301), we get a palindrome (12424211242421).

The spelling of 10313101111120 in words is "ten trillion, three hundred thirteen billion, one hundred one million, one hundred eleven thousand, one hundred twenty".