22323311101013 has 32 divisors (see below), whose sum is σ = 25124744612352. Its totient is φ = 19697293324800.

The previous prime is 22323311100997. The next prime is 22323311101031. The reversal of 22323311101013 is 31010111332322.

It is not a de Polignac number, because 22323311101013 - 2⁴ = 22323311100997 is a prime.

It is a super-3 number, since 3×22323311101013³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22323311101013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22323311101033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594302753 + ... + 594340313.

It is an arithmetic number, because the mean of its divisors is an integer number (785148269136).

Almost surely, 2^{22323311101013} is an apocalyptic number.

It is an amenable number.

22323311101013 is a deficient number, since it is larger than the sum of its proper divisors (2801433511339).

22323311101013 is a wasteful number, since it uses less digits than its factorization.

22323311101013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60285.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 22323311101013 its reverse (31010111332322), we get a palindrome (53333422433335).

The spelling of 22323311101013 in words is "twenty-two trillion, three hundred twenty-three billion, three hundred eleven million, one hundred one thousand, thirteen".