10141232133024 has 72 divisors (see below), whose sum is σ = 29907244785600. Its totient is φ = 3380410708416.

The previous prime is 10141232133023. The next prime is 10141232133061. The reversal of 10141232133024 is 42033123214101.

10141232133024 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 2 + 321 + 330 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10141232133023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 652077624 + ... + 652093175.

It is an arithmetic number, because the mean of its divisors is an integer number (415378399800).

Almost surely, 2^{10141232133024} is an apocalyptic number.

It is an amenable number.

10141232133024 is an abundant number, since it is smaller than the sum of its proper divisors (19766012652576).

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

10141232133024 is an equidigital number, since it uses as much as digits as its factorization.

10141232133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304170824 (or 1304170804 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10141232133024 its reverse (42033123214101), we get a palindrome (52174355347125).

The spelling of 10141232133024 in words is "ten trillion, one hundred forty-one billion, two hundred thirty-two million, one hundred thirty-three thousand, twenty-four".