1001120000013 has 48 divisors (see below), whose sum is σ = 1724114595840. Its totient is φ = 568642849776.

The previous prime is 1001119999993. The next prime is 1001120000017. The reversal of 1001120000013 is 3100000211001.

1001120000013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-1001120000013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001120000017) 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, 1478053 + ... + 2046186.

It is an arithmetic number, because the mean of its divisors is an integer number (35919054080).

Almost surely, 2^{1001120000013} is an apocalyptic number.

It is an amenable number.

1001120000013 is a deficient number, since it is larger than the sum of its proper divisors (722994595827).

1001120000013 is an equidigital number, since it uses as much as digits as its factorization.

1001120000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524428 (or 3524416 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1001120000013 its reverse (3100000211001), we get a palindrome (4101120211014).

The spelling of 1001120000013 in words is "one trillion, one billion, one hundred twenty million, thirteen", and thus it is an aban number.