2123331301000 has 512 divisors, whose sum is σ = 6500087193600. Its totient is φ = 630397209600.

The previous prime is 2123331300989. The next prime is 2123331301001. The reversal of 2123331301000 is 1031333212.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (2123331301001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 178081039 + ... + 178092961.

It is an arithmetic number, because the mean of its divisors is an integer number (12695482800).

Almost surely, 2^{2123331301000} is an apocalyptic number.

2123331301000 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 2123331301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250043596800).

2123331301000 is an abundant number, since it is smaller than the sum of its proper divisors (4376755892600).

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

2123331301000 is a wasteful number, since it uses less digits than its factorization.

2123331301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12086 (or 12072 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 2123331301000 its reverse (1031333212), we get a palindrome (2124362634212).

The spelling of 2123331301000 in words is "two trillion, one hundred twenty-three billion, three hundred thirty-one million, three hundred one thousand".