2012020101013 has 16 divisors (see below), whose sum is σ = 2356255908720. Its totient is φ = 1700756130816.

The previous prime is 2012020101011. The next prime is 2012020101017. The reversal of 2012020101013 is 3101010202102.

It can be written as a sum of positive squares in 8 ways, for example, as 366221046244 + 1645799054769 = 605162^2 + 1282887^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012020101013 - 2¹ = 2012020101011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2012020100984 and 2012020101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012020101011) 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, 123021058 + ... + 123037411.

It is an arithmetic number, because the mean of its divisors is an integer number (147265994295).

Almost surely, 2^{2012020101013} is an apocalyptic number.

It is an amenable number.

2012020101013 is a deficient number, since it is larger than the sum of its proper divisors (344235807707).

2012020101013 is a wasteful number, since it uses less digits than its factorization.

2012020101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246058536.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2012020101013 its reverse (3101010202102), we get a palindrome (5113030303115).

The spelling of 2012020101013 in words is "two trillion, twelve billion, twenty million, one hundred one thousand, thirteen".