10121330131424 has 96 divisors (see below), whose sum is σ = 21141719202240. Its totient is φ = 4753231699968.

The previous prime is 10121330131403. The next prime is 10121330131477. The reversal of 10121330131424 is 42413103312101.

It is a super-3 number, since 3×10121330131424³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10121330131393 and 10121330131402.

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 15 ways as a sum of consecutive naturals, for example, 840845534 + ... + 840857570.

It is an arithmetic number, because the mean of its divisors is an integer number (220226241690).

Almost surely, 2^{10121330131424} 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 10121330131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10570859601120).

10121330131424 is an abundant number, since it is smaller than the sum of its proper divisors (11020389070816).

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

10121330131424 is a wasteful number, since it uses less digits than its factorization.

10121330131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15100 (or 15092 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 10121330131424 its reverse (42413103312101), we get a palindrome (52534433443525).

The spelling of 10121330131424 in words is "ten trillion, one hundred twenty-one billion, three hundred thirty million, one hundred thirty-one thousand, four hundred twenty-four".