1001002021013 has 4 divisors (see below), whose sum is σ = 1001034991020. Its totient is φ = 1000969051008.

The previous prime is 1001002020989. The next prime is 1001002021021. The reversal of 1001002021013 is 3101202001001.

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 824331437329 + 176670583684 = 907927^2 + 420322^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001002021013 - 2⁸ = 1001002020757 is a prime.

It is a super-2 number, since 2×1001002021013² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001002020985 and 1001002021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001002021073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16439420 + ... + 16500197.

It is an arithmetic number, because the mean of its divisors is an integer number (250258747755).

Almost surely, 2^{1001002021013} is an apocalyptic number.

It is an amenable number.

1001002021013 is a deficient number, since it is larger than the sum of its proper divisors (32970007).

1001002021013 is an equidigital number, since it uses as much as digits as its factorization.

1001002021013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32970006.

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

Adding to 1001002021013 its reverse (3101202001001), we get a palindrome (4102204022014).

The spelling of 1001002021013 in words is "one trillion, one billion, two million, twenty-one thousand, thirteen".