22311221313313 has 16 divisors (see below), whose sum is σ = 23058682052112. Its totient is φ = 21573457920000.

The previous prime is 22311221313257. The next prime is 22311221313341. The reversal of 22311221313313 is 31331312211322.

It can be written as a sum of positive squares in 8 ways, for example, as 9980083402129 + 12331137911184 = 3159127^2 + 3511572^2 .

It is a cyclic number.

It is not a de Polignac number, because 22311221313313 - 2⁹ = 22311221312801 is a prime.

It is a super-3 number, since 3×22311221313313³ (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 not an unprimeable number, because it can be changed into a prime (22311221313413) 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, 118329913 + ... + 118518313.

It is an arithmetic number, because the mean of its divisors is an integer number (1441167628257).

Almost surely, 2^{22311221313313} is an apocalyptic number.

It is an amenable number.

22311221313313 is a deficient number, since it is larger than the sum of its proper divisors (747460738799).

22311221313313 is a wasteful number, since it uses less digits than its factorization.

22311221313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214116.

The product of its digits is 3888, while the sum is 28.

Adding to 22311221313313 its reverse (31331312211322), we get a palindrome (53642533524635).

The spelling of 22311221313313 in words is "twenty-two trillion, three hundred eleven billion, two hundred twenty-one million, three hundred thirteen thousand, three hundred thirteen".