1003314314120 has 64 divisors (see below), whose sum is σ = 2261444313600. Its totient is φ = 400617468160.

The previous prime is 1003314314111. The next prime is 1003314314129. The reversal of 1003314314120 is 214134133001.

1003314314120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1003314314111) and next prime (1003314314129).

It is a super-2 number, since 2×1003314314120² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1003314314129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68529761 + ... + 68544399.

It is an arithmetic number, because the mean of its divisors is an integer number (35335067400).

Almost surely, 2^{1003314314120} is an apocalyptic number.

1003314314120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003314314120 is an abundant number, since it is smaller than the sum of its proper divisors (1258129999480).

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

1003314314120 is a wasteful number, since it uses less digits than its factorization.

1003314314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17558 (or 17554 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1003314314120 its reverse (214134133001), we get a palindrome (1217448447121).

The spelling of 1003314314120 in words is "one trillion, three billion, three hundred fourteen million, three hundred fourteen thousand, one hundred twenty".