22013322331000 has 512 divisors, whose sum is σ = 69388107909120. Its totient is φ = 6312784896000.

The previous prime is 22013322330947. The next prime is 22013322331001. The reversal of 22013322331000 is 13322331022.

It is a super-2 number, since 2×22013322331000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013322331001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 307271184 + ... + 307342816.

It is an arithmetic number, because the mean of its divisors is an integer number (135523648260).

Almost surely, 2^{22013322331000} is an apocalyptic number.

22013322331000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22013322331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34694053954560).

22013322331000 is an abundant number, since it is smaller than the sum of its proper divisors (47374785578120).

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

22013322331000 is a wasteful number, since it uses less digits than its factorization.

22013322331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71992 (or 71978 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 22013322331000 its sum of digits (22), we get a palindrome (22013322331022).

Adding to 22013322331000 its reverse (13322331022), we get a palindrome (22026644662022).

It can be divided in two parts, 22013322 and 331000, that added together give a palindrome (22344322).

The spelling of 22013322331000 in words is "twenty-two trillion, thirteen billion, three hundred twenty-two million, three hundred thirty-one thousand".