22001311310022 has 72 divisors (see below), whose sum is σ = 53446575487032. Its totient is φ = 6486873033600.

The previous prime is 22001311309993. The next prime is 22001311310029.

22001311310022 is a `hidden beast` number, since 2 + 20 + 0 + 1 + 311 + 310 + 0 + 22 = 666.

22001311310022 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×22001311310022³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22001311309977 and 22001311310004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001311310029) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40312479 + ... + 40854602.

It is an arithmetic number, because the mean of its divisors is an integer number (742313548431).

Almost surely, 2^{22001311310022} is an apocalyptic number.

22001311310022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22001311310022 is an abundant number, since it is smaller than the sum of its proper divisors (31445264177010).

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

22001311310022 is a wasteful number, since it uses less digits than its factorization.

22001311310022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81167174 (or 81167134 counting only the distinct ones).

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

It can be divided in two parts, 2200131 and 1310022, that added together give a palindrome (3510153).

The spelling of 22001311310022 in words is "twenty-two trillion, one billion, three hundred eleven million, three hundred ten thousand, twenty-two".