20261132133000 has 768 divisors, whose sum is σ = 70844626944000. Its totient is φ = 4816468800000.

The previous prime is 20261132132987. The next prime is 20261132133059. The reversal of 20261132133000 is 33123116202.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4330224661 + ... + 4330229339.

It is an arithmetic number, because the mean of its divisors is an integer number (92245608000).

Almost surely, 2^{20261132133000} is an apocalyptic number.

20261132133000 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 20261132133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35422313472000).

20261132133000 is an abundant number, since it is smaller than the sum of its proper divisors (50583494811000).

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

20261132133000 is a wasteful number, since it uses less digits than its factorization.

20261132133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 20261132133000 its reverse (33123116202), we get a palindrome (20294255249202).

The spelling of 20261132133000 in words is "twenty trillion, two hundred sixty-one billion, one hundred thirty-two million, one hundred thirty-three thousand".