1000002122013 has 16 divisors (see below), whose sum is σ = 1403619765120. Its totient is φ = 632039299584.

The previous prime is 1000002121991. The next prime is 1000002122081. The reversal of 1000002122013 is 3102212000001.

1000002122013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1000002122013 - 2⁵ = 1000002121981 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000002122013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000002122083) 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, 64119568 + ... + 64135161.

It is an arithmetic number, because the mean of its divisors is an integer number (87726235320).

Almost surely, 2^{1000002122013} is an apocalyptic number.

It is an amenable number.

1000002122013 is a deficient number, since it is larger than the sum of its proper divisors (403617643107).

1000002122013 is a wasteful number, since it uses less digits than its factorization.

1000002122013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128254868.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1000002122013 its reverse (3102212000001), we get a palindrome (4102214122014).

The spelling of 1000002122013 in words is "one trillion, two million, one hundred twenty-two thousand, thirteen".