22313311020000 has 2880 divisors, whose sum is σ = 109371268790784. Its totient is φ = 4162959360000.

The previous prime is 22313311019983. The next prime is 22313311020001. The reversal of 22313311020000 is 2011331322.

22313311020000 is a `hidden beast` number, since 2 + 231 + 331 + 102 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×22313311020000³ (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (22313311020001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6666658327 + ... + 6666661673.

Almost surely, 2^{22313311020000} is an apocalyptic number.

22313311020000 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 22313311020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54685634395392).

22313311020000 is an abundant number, since it is smaller than the sum of its proper divisors (87057957770784).

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

22313311020000 is a wasteful number, since it uses less digits than its factorization.

22313311020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22313311020000 its reverse (2011331322), we get a palindrome (22315322351322).

The spelling of 22313311020000 in words is "twenty-two trillion, three hundred thirteen billion, three hundred eleven million, twenty thousand".