1000100120013 has 6 divisors (see below), whose sum is σ = 1444589062254. Its totient is φ = 666733413336.

The previous prime is 1000100120003. The next prime is 1000100120029. The reversal of 1000100120013 is 3100210010001.

It can be written as a sum of positive squares in only one way, i.e., 776236767849 + 223863352164 = 881043^2 + 473142^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1000100120013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111122235557 = 1000100120013 / (1 + 0 + 0 + 0 + 1 + 0 + 0 + 1 + 2 + 0 + 0 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 1000100119977 and 1000100120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000100120003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55561117770 + ... + 55561117787.

It is an arithmetic number, because the mean of its divisors is an integer number (240764843709).

Almost surely, 2^{1000100120013} is an apocalyptic number.

It is an amenable number.

1000100120013 is a deficient number, since it is larger than the sum of its proper divisors (444488942241).

1000100120013 is a wasteful number, since it uses less digits than its factorization.

1000100120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111122235563 (or 111122235560 counting only the distinct ones).

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

Adding to 1000100120013 its reverse (3100210010001), we get a palindrome (4100310130014).

The spelling of 1000100120013 in words is "one trillion, one hundred million, one hundred twenty thousand, thirteen".