10003120313220 has 144 divisors (see below), whose sum is σ = 31169270915328. Its totient is φ = 2594871417600.

The previous prime is 10003120313209. The next prime is 10003120313267. The reversal of 10003120313220 is 2231302130001.

10003120313220 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 312 + 0 + 31 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10003120313193 and 10003120313202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32821977 + ... + 33125343.

Almost surely, 2^{10003120313220} is an apocalyptic number.

10003120313220 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 10003120313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584635457664).

10003120313220 is an abundant number, since it is smaller than the sum of its proper divisors (21166150602108).

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

10003120313220 is a wasteful number, since it uses less digits than its factorization.

10003120313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308370 (or 308365 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10003120313220 its reverse (2231302130001), we get a palindrome (12234422443221).

The spelling of 10003120313220 in words is "ten trillion, three billion, one hundred twenty million, three hundred thirteen thousand, two hundred twenty".