20133001013121 has 24 divisors (see below), whose sum is σ = 29522067329664. Its totient is φ = 13218835331520.

The previous prime is 20133001013107. The next prime is 20133001013137. The reversal of 20133001013121 is 12131010033102.

20133001013121 is a `hidden beast` number, since 20 + 1 + 330 + 0 + 1 + 0 + 1 + 312 + 1 = 666.

It is not a de Polignac number, because 20133001013121 - 2⁶ = 20133001013057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20133001013094 and 20133001013103.

It is not an unprimeable number, because it can be changed into a prime (20133001033121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16213981 + ... + 17411466.

It is an arithmetic number, because the mean of its divisors is an integer number (1230086138736).

Almost surely, 2^{20133001013121} is an apocalyptic number.

It is an amenable number.

20133001013121 is a deficient number, since it is larger than the sum of its proper divisors (9389066316543).

20133001013121 is a wasteful number, since it uses less digits than its factorization.

20133001013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33626461 (or 33626458 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20133001013121 its reverse (12131010033102), we get a palindrome (32264011046223).

The spelling of 20133001013121 in words is "twenty trillion, one hundred thirty-three billion, one million, thirteen thousand, one hundred twenty-one".