103313330020120 has 192 divisors, whose sum is σ = 257618148480000. Its totient is φ = 37258500787200.

The previous prime is 103313330020097. The next prime is 103313330020123. The reversal of 103313330020120 is 21020033313301.

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 = 103313330020091 and 103313330020100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313330020123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1689724750 + ... + 1689785890.

It is an arithmetic number, because the mean of its divisors is an integer number (1341761190000).

Almost surely, 2^{103313330020120} is an apocalyptic number.

103313330020120 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 103313330020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128809074240000).

103313330020120 is an abundant number, since it is smaller than the sum of its proper divisors (154304818459880).

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

103313330020120 is a wasteful number, since it uses less digits than its factorization.

103313330020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64050 (or 64035 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 103313330020120 its reverse (21020033313301), we get a palindrome (124333363333421).

The spelling of 103313330020120 in words is "one hundred three trillion, three hundred thirteen billion, three hundred thirty million, twenty thousand, one hundred twenty".