103310333120 has 112 divisors (see below), whose sum is σ = 254746719360. Its totient is φ = 39859040256.

The previous prime is 103310333117. The next prime is 103310333153. The reversal of 103310333120 is 21333013301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103310333092 and 103310333101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10230794 + ... + 10240886.

It is an arithmetic number, because the mean of its divisors is an integer number (2274524280).

Almost surely, 2^103310333120 is an apocalyptic number.

103310333120 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 103310333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127373359680).

103310333120 is an abundant number, since it is smaller than the sum of its proper divisors (151436386240).

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

103310333120 is a wasteful number, since it uses less digits than its factorization.

103310333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11242 (or 11232 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 103310333120 its reverse (21333013301), we get a palindrome (124643346421).

The spelling of 103310333120 in words is "one hundred three billion, three hundred ten million, three hundred thirty-three thousand, one hundred twenty".