22313431132000 has 192 divisors, whose sum is σ = 55975595719680. Its totient is φ = 8739115200000.

The previous prime is 22313431131983. The next prime is 22313431132037. The reversal of 22313431132000 is 23113431322.

It is a super-3 number, since 3×22313431132000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59047657 + ... + 59424343.

It is an arithmetic number, because the mean of its divisors is an integer number (291539561040).

Almost surely, 2^{22313431132000} is an apocalyptic number.

22313431132000 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 22313431132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27987797859840).

22313431132000 is an abundant number, since it is smaller than the sum of its proper divisors (33662164587680).

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

22313431132000 is a wasteful number, since it uses less digits than its factorization.

22313431132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377022 (or 377004 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 22313431132000 its reverse (23113431322), we get a palindrome (22336544563322).

The spelling of 22313431132000 in words is "twenty-two trillion, three hundred thirteen billion, four hundred thirty-one million, one hundred thirty-two thousand".