22313100131322 has 256 divisors, whose sum is σ = 61676274659328. Its totient is φ = 5193432391680.

The previous prime is 22313100131221. The next prime is 22313100131327.

22313100131322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×22313100131322³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22313100131292 and 22313100131301.

It is not an unprimeable number, because it can be changed into a prime (22313100131327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98331018 + ... + 98557674.

It is an arithmetic number, because the mean of its divisors is an integer number (240922947888).

Almost surely, 2^{22313100131322} is an apocalyptic number.

22313100131322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22313100131322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30838137329664).

22313100131322 is an abundant number, since it is smaller than the sum of its proper divisors (39363174528006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22313100131322 is a wasteful number, since it uses less digits than its factorization.

22313100131322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227173.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 22313100 and 131322, that added together give a palindrome (22444422).

The spelling of 22313100131322 in words is "twenty-two trillion, three hundred thirteen billion, one hundred million, one hundred thirty-one thousand, three hundred twenty-two".