20133311313128 has 128 divisors (see below), whose sum is σ = 43207768880640. Its totient is φ = 8712721920000.

The previous prime is 20133311313127. The next prime is 20133311313139. The reversal of 20133311313128 is 82131311333102.

It is a junction number, because it is equal to n+sod(n) for n = 20133311313094 and 20133311313103.

It is not an unprimeable number, because it can be changed into a prime (20133311313127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534148763 + ... + 534186453.

It is an arithmetic number, because the mean of its divisors is an integer number (337560694380).

Almost surely, 2^{20133311313128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20133311313128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21603884440320).

20133311313128 is an abundant number, since it is smaller than the sum of its proper divisors (23074457567512).

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

20133311313128 is a wasteful number, since it uses less digits than its factorization.

20133311313128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38859 (or 38855 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 20133311313128 in words is "twenty trillion, one hundred thirty-three billion, three hundred eleven million, three hundred thirteen thousand, one hundred twenty-eight".