20133131123300 has 144 divisors (see below), whose sum is σ = 49262794479360. Its totient is φ = 7086292815360.

The previous prime is 20133131123293. The next prime is 20133131123317. The reversal of 20133131123300 is 332113133102.

It is a super-2 number, since 2×20133131123300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7611641 + ... + 9909759.

It is an arithmetic number, because the mean of its divisors is an integer number (342102739440).

Almost surely, 2^{20133131123300} is an apocalyptic number.

20133131123300 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 20133131123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24631397239680).

20133131123300 is an abundant number, since it is smaller than the sum of its proper divisors (29129663356060).

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

20133131123300 is a wasteful number, since it uses less digits than its factorization.

20133131123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298462 (or 2298455 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 20133131123300 its reverse (332113133102), we get a palindrome (20465244256402).

The spelling of 20133131123300 in words is "twenty trillion, one hundred thirty-three billion, one hundred thirty-one million, one hundred twenty-three thousand, three hundred".