10131033121300 has 288 divisors, whose sum is σ = 28002915198720. Its totient is φ = 3094389043200.

The previous prime is 10131033121283. The next prime is 10131033121337. The reversal of 10131033121300 is 312133013101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720703872 + ... + 720717928.

It is an arithmetic number, because the mean of its divisors is an integer number (97232344440).

Almost surely, 2^{10131033121300} is an apocalyptic number.

10131033121300 is a gapful number since it is divisible by the number (10) 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 10131033121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14001457599360).

10131033121300 is an abundant number, since it is smaller than the sum of its proper divisors (17871882077420).

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

10131033121300 is a wasteful number, since it uses less digits than its factorization.

10131033121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16851 (or 16844 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10131033121300 its reverse (312133013101), we get a palindrome (10443166134401).

The spelling of 10131033121300 in words is "ten trillion, one hundred thirty-one billion, thirty-three million, one hundred twenty-one thousand, three hundred".