1002101101013 has 8 divisors (see below), whose sum is σ = 1061084344320. Its totient is φ = 943121871040.

The previous prime is 1002101100997. The next prime is 1002101101031. The reversal of 1002101101013 is 3101011012001.

It is a happy number.

1002101101013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1002101101013 - 2⁴ = 1002101100997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002101100985 and 1002101101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002101101213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481493 + ... + 1495338.

It is an arithmetic number, because the mean of its divisors is an integer number (132635543040).

Almost surely, 2^{1002101101013} is an apocalyptic number.

It is an amenable number.

1002101101013 is a deficient number, since it is larger than the sum of its proper divisors (58983243307).

1002101101013 is a wasteful number, since it uses less digits than its factorization.

1002101101013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006667.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1002101101013 its reverse (3101011012001), we get a palindrome (4103112113014).

The spelling of 1002101101013 in words is "one trillion, two billion, one hundred one million, one hundred one thousand, thirteen".