2001013021013 has 16 divisors (see below), whose sum is σ = 2115316462080. Its totient is φ = 1889004813696.

The previous prime is 2001013020983. The next prime is 2001013021027. The reversal of 2001013021013 is 3101203101002.

It is a cyclic number.

It is not a de Polignac number, because 2001013021013 - 2⁸ = 2001013020757 is a prime.

It is a super-2 number, since 2×2001013021013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001013021043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4202081 + ... + 4653977.

It is an arithmetic number, because the mean of its divisors is an integer number (132207278880).

Almost surely, 2^{2001013021013} is an apocalyptic number.

2001013021013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2001013021013 is a deficient number, since it is larger than the sum of its proper divisors (114303441067).

2001013021013 is a wasteful number, since it uses less digits than its factorization.

2001013021013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454436.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 2001013021013 its reverse (3101203101002), we get a palindrome (5102216122015).

The spelling of 2001013021013 in words is "two trillion, one billion, thirteen million, twenty-one thousand, thirteen".