22540544102013 has 64 divisors (see below), whose sum is σ = 35448302174208. Its totient is φ = 12471046156800.

The previous prime is 22540544102009. The next prime is 22540544102017. The reversal of 22540544102013 is 31020144504522.

It is an interprime number because it is at equal distance from previous prime (22540544102009) and next prime (22540544102017).

It is not a de Polignac number, because 22540544102013 - 2² = 22540544102009 is a prime.

It is a super-2 number, since 2×22540544102013² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22540544102017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147101988 + ... + 147255138.

It is an arithmetic number, because the mean of its divisors is an integer number (553879721472).

Almost surely, 2^{22540544102013} is an apocalyptic number.

It is an amenable number.

22540544102013 is a deficient number, since it is larger than the sum of its proper divisors (12907758072195).

22540544102013 is a wasteful number, since it uses less digits than its factorization.

22540544102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154122.

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 22540544102013 its reverse (31020144504522), we get a palindrome (53560688606535).

The spelling of 22540544102013 in words is "twenty-two trillion, five hundred forty billion, five hundred forty-four million, one hundred two thousand, thirteen".