1003120000113 has 48 divisors (see below), whose sum is σ = 1706783996160. Its totient is φ = 518189968800.

The previous prime is 1003120000109. The next prime is 1003120000121. The reversal of 1003120000113 is 3110000213001.

It is not a de Polignac number, because 1003120000113 - 2² = 1003120000109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1003120000123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1443403 + ... + 2022288.

It is an arithmetic number, because the mean of its divisors is an integer number (35557999920).

Almost surely, 2^{1003120000113} is an apocalyptic number.

It is an amenable number.

1003120000113 is a deficient number, since it is larger than the sum of its proper divisors (703663996047).

1003120000113 is a wasteful number, since it uses less digits than its factorization.

1003120000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465898 (or 3465891 counting only the distinct ones).

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

Adding to 1003120000113 its reverse (3110000213001), we get a palindrome (4113120213114).

It can be divided in two parts, 100 and 3120000113, that added together give a palindrome (3120000213).

The spelling of 1003120000113 in words is "one trillion, three billion, one hundred twenty million, one hundred thirteen", and thus it is an aban number.