103314420020000 has 240 divisors, whose sum is σ = 293742665758080. Its totient is φ = 35024081664000.

The previous prime is 103314420019999. The next prime is 103314420020011. The reversal of 103314420020000 is 20024413301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8314157 + ... + 16605843.

It is an arithmetic number, because the mean of its divisors is an integer number (1223927773992).

Almost surely, 2^{103314420020000} is an apocalyptic number.

103314420020000 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 103314420020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146871332879040).

103314420020000 is an abundant number, since it is smaller than the sum of its proper divisors (190428245738080).

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

103314420020000 is an frugal number, since it uses more digits than its factorization.

103314420020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8291813 (or 8291790 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 103314420020000 its reverse (20024413301), we get a palindrome (103334444433301).

The spelling of 103314420020000 in words is "one hundred three trillion, three hundred fourteen billion, four hundred twenty million, twenty thousand".