1002120010013 has 4 divisors (see below), whose sum is σ = 1005737772060. Its totient is φ = 998502247968.

The previous prime is 1002120010007. The next prime is 1002120010057. The reversal of 1002120010013 is 3100100212001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 210913318009 + 791206692004 = 459253^2 + 889498^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002120010013 - 2¹⁸ = 1002119747869 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002120009976 and 1002120010003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002120010613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1808880608 + ... + 1808881161.

It is an arithmetic number, because the mean of its divisors is an integer number (251434443015).

Almost surely, 2^{1002120010013} is an apocalyptic number.

It is an amenable number.

1002120010013 is a deficient number, since it is larger than the sum of its proper divisors (3617762047).

1002120010013 is an equidigital number, since it uses as much as digits as its factorization.

1002120010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617762046.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 1002120010013 its reverse (3100100212001), we get a palindrome (4102220222014).

The spelling of 1002120010013 in words is "one trillion, two billion, one hundred twenty million, ten thousand, thirteen".