22313131200000 has 720 divisors, whose sum is σ = 82668773547360. Its totient is φ = 5789214720000.

The previous prime is 22313131199939. The next prime is 22313131200029. The reversal of 22313131200000 is 213131322.

22313131200000 is a `hidden beast` number, since 2 + 231 + 313 + 120 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×22313131200000³ (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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 532779061 + ... + 532820939.

It is an arithmetic number, because the mean of its divisors is an integer number (114817741038).

Almost surely, 2^{22313131200000} is an apocalyptic number.

22313131200000 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 22313131200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41334386773680).

22313131200000 is an abundant number, since it is smaller than the sum of its proper divisors (60355642347360).

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

22313131200000 is an frugal number, since it uses more digits than its factorization.

22313131200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41965 (or 41926 counting only the distinct ones).

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

Adding to 22313131200000 its reverse (213131322), we get a palindrome (22313344331322).

The spelling of 22313131200000 in words is "twenty-two trillion, three hundred thirteen billion, one hundred thirty-one million, two hundred thousand".