2221312001013 has 24 divisors (see below), whose sum is σ = 3667861454400. Its totient is φ = 1268997937344.

The previous prime is 2221312001011. The next prime is 2221312001053. The reversal of 2221312001013 is 3101002131222.

It is not a de Polignac number, because 2221312001013 - 2¹ = 2221312001011 is a prime.

It is a super-2 number, since 2×2221312001013² (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 (2221312001011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4239483 + ... + 4734536.

It is an arithmetic number, because the mean of its divisors is an integer number (152827560600).

Almost surely, 2^{2221312001013} is an apocalyptic number.

It is an amenable number.

2221312001013 is a deficient number, since it is larger than the sum of its proper divisors (1446549453387).

2221312001013 is a wasteful number, since it uses less digits than its factorization.

2221312001013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8977961 (or 8977958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2221312001013 its reverse (3101002131222), we get a palindrome (5322314132235).

The spelling of 2221312001013 in words is "two trillion, two hundred twenty-one billion, three hundred twelve million, one thousand, thirteen".