22311011331330 has 128 divisors (see below), whose sum is σ = 54520503321600. Its totient is φ = 5842126116864.

The previous prime is 22311011331317. The next prime is 22311011331331. The reversal of 22311011331330 is 3313311011322.

It is a super-3 number, since 3×22311011331330³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22311011331330.

It is not an unprimeable number, because it can be changed into a prime (22311011331331) 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 63 ways as a sum of consecutive naturals, for example, 875993836 + ... + 876019304.

It is an arithmetic number, because the mean of its divisors is an integer number (425941432200).

Almost surely, 2^{22311011331330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22311011331330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27260251660800).

22311011331330 is an abundant number, since it is smaller than the sum of its proper divisors (32209491990270).

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

22311011331330 is a wasteful number, since it uses less digits than its factorization.

22311011331330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27308.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 22311011331330 its reverse (3313311011322), we get a palindrome (25624322342652).

The spelling of 22311011331330 in words is "twenty-two trillion, three hundred eleven billion, eleven million, three hundred thirty-one thousand, three hundred thirty".