1002122000013 has 16 divisors (see below), whose sum is σ = 1375423289856. Its totient is φ = 648637091760.

The previous prime is 1002122000003. The next prime is 1002122000027. The reversal of 1002122000013 is 3100002212001.

It is not a de Polignac number, because 1002122000013 - 2⁸ = 1002121999757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002122000003) 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, 23237103 + ... + 23280188.

It is an arithmetic number, because the mean of its divisors is an integer number (85963955616).

Almost surely, 2^{1002122000013} is an apocalyptic number.

It is an amenable number.

1002122000013 is a deficient number, since it is larger than the sum of its proper divisors (373301289843).

1002122000013 is a wasteful number, since it uses less digits than its factorization.

1002122000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46517504.

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

Adding to 1002122000013 its reverse (3100002212001), we get a palindrome (4102124212014).

It can be divided in two parts, 100212 and 2000013, that added together give a triangular number (2100225 = T₂₀₄₉).

The spelling of 1002122000013 in words is "one trillion, two billion, one hundred twenty-two million, thirteen", and thus it is an aban number.