10144145124333 has 32 divisors (see below), whose sum is σ = 16396238582400. Its totient is φ = 6147344016000.

The previous prime is 10144145124329. The next prime is 10144145124353. The reversal of 10144145124333 is 33342154144101.

10144145124333 is a `hidden beast` number, since 10 + 144 + 1 + 451 + 24 + 3 + 33 = 666.

It is not a de Polignac number, because 10144145124333 - 2² = 10144145124329 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144145124353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1215753 + ... + 4665441.

It is an arithmetic number, because the mean of its divisors is an integer number (512382455700).

Almost surely, 2^{10144145124333} is an apocalyptic number.

It is an amenable number.

10144145124333 is a deficient number, since it is larger than the sum of its proper divisors (6252093458067).

10144145124333 is a wasteful number, since it uses less digits than its factorization.

10144145124333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459610 (or 3459604 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 10144145124333 its reverse (33342154144101), we get a palindrome (43486299268434).

The spelling of 10144145124333 in words is "ten trillion, one hundred forty-four billion, one hundred forty-five million, one hundred twenty-four thousand, three hundred thirty-three".