2221000033013 has 8 divisors (see below), whose sum is σ = 2233562756568. Its totient is φ = 2208472648704.

The previous prime is 2221000032983. The next prime is 2221000033093. The reversal of 2221000033013 is 3103300001222.

It can be written as a sum of positive squares in 4 ways, for example, as 103605446884 + 2117394586129 = 321878^2 + 1455127^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2221000033013 - 2¹² = 2221000028917 is a prime.

It is a super-2 number, since 2×2221000033013² (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 = 2221000032982 and 2221000033000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221000033093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8708756 + ... + 8960157.

It is an arithmetic number, because the mean of its divisors is an integer number (279195344571).

Almost surely, 2^{2221000033013} is an apocalyptic number.

It is an amenable number.

2221000033013 is a deficient number, since it is larger than the sum of its proper divisors (12562723555).

2221000033013 is a wasteful number, since it uses less digits than its factorization.

2221000033013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17669623.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2221000033013 its reverse (3103300001222), we get a palindrome (5324300034235).

The spelling of 2221000033013 in words is "two trillion, two hundred twenty-one billion, thirty-three thousand, thirteen".