10003311120 has 160 divisors (see below), whose sum is σ = 34744026240. Its totient is φ = 2359480320.

The previous prime is 10003311119. The next prime is 10003311137. The reversal of 10003311120 is 2111330001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10003311096 and 10003311105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46476 + ... + 148884.

It is an arithmetic number, because the mean of its divisors is an integer number (217150164).

Almost surely, 2^10003311120 is an apocalyptic number.

10003311120 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 10003311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17372013120).

10003311120 is an abundant number, since it is smaller than the sum of its proper divisors (24740715120).

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

10003311120 is a wasteful number, since it uses less digits than its factorization.

10003311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102473 (or 102467 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10003311120 its reverse (2111330001), we get a palindrome (12114641121).

It can be divided in two parts, 10003 and 311120, that added together give a palindrome (321123).

The spelling of 10003311120 in words is "ten billion, three million, three hundred eleven thousand, one hundred twenty".