103213331120 has 160 divisors (see below), whose sum is σ = 249332791680. Its totient is φ = 39706951680.

The previous prime is 103213331099. The next prime is 103213331173. The reversal of 103213331120 is 21133312301.

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 = 103213331092 and 103213331101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112310021 + ... + 112310939.

It is an arithmetic number, because the mean of its divisors is an integer number (1558329948).

Almost surely, 2^103213331120 is an apocalyptic number.

103213331120 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 103213331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124666395840).

103213331120 is an abundant number, since it is smaller than the sum of its proper divisors (146119460560).

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

103213331120 is a wasteful number, since it uses less digits than its factorization.

103213331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 103213331120 its reverse (21133312301), we get a palindrome (124346643421).

The spelling of 103213331120 in words is "one hundred three billion, two hundred thirteen million, three hundred thirty-one thousand, one hundred twenty".