20131233121020 has 192 divisors, whose sum is σ = 64686926094336. Its totient is φ = 4582360608000.

The previous prime is 20131233121009. The next prime is 20131233121057. The reversal of 20131233121020 is 2012133213102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 928423099 + ... + 928444781.

It is an arithmetic number, because the mean of its divisors is an integer number (336911073408).

Almost surely, 2^{20131233121020} is an apocalyptic number.

20131233121020 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 20131233121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32343463047168).

20131233121020 is an abundant number, since it is smaller than the sum of its proper divisors (44555692973316).

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

20131233121020 is a wasteful number, since it uses less digits than its factorization.

20131233121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30760 (or 30758 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 20131233121020 its reverse (2012133213102), we get a palindrome (22143366334122).

The spelling of 20131233121020 in words is "twenty trillion, one hundred thirty-one billion, two hundred thirty-three million, one hundred twenty-one thousand, twenty".