20233120313100 has 576 divisors, whose sum is σ = 62813734663680. Its totient is φ = 5019356160000.

The previous prime is 20233120313089. The next prime is 20233120313123. The reversal of 20233120313100 is 131302133202.

It is a super-2 number, since 2×20233120313100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8870283960 + ... + 8870286240.

It is an arithmetic number, because the mean of its divisors is an integer number (109051622680).

Almost surely, 2^{20233120313100} is an apocalyptic number.

20233120313100 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 20233120313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31406867331840).

20233120313100 is an abundant number, since it is smaller than the sum of its proper divisors (42580614350580).

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

20233120313100 is a wasteful number, since it uses less digits than its factorization.

20233120313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 20233120313100 its reverse (131302133202), we get a palindrome (20364422446302).

The spelling of 20233120313100 in words is "twenty trillion, two hundred thirty-three billion, one hundred twenty million, three hundred thirteen thousand, one hundred".