103112311313220 has 384 divisors, whose sum is σ = 329327050752000. Its totient is φ = 23861279946240.

The previous prime is 103112311313183. The next prime is 103112311313227. The reversal of 103112311313220 is 22313113211301.

103112311313220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (103112311313227) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17842584291 + ... + 17842590069.

It is an arithmetic number, because the mean of its divisors is an integer number (857622528000).

Almost surely, 2^{103112311313220} is an apocalyptic number.

103112311313220 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 103112311313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164663525376000).

103112311313220 is an abundant number, since it is smaller than the sum of its proper divisors (226214739438780).

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

103112311313220 is a wasteful number, since it uses less digits than its factorization.

103112311313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8023 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 103112311313220 its reverse (22313113211301), we get a palindrome (125425424524521).

The spelling of 103112311313220 in words is "one hundred three trillion, one hundred twelve billion, three hundred eleven million, three hundred thirteen thousand, two hundred twenty".