10141144314003 has 24 divisors (see below), whose sum is σ = 14696667882000. Its totient is φ = 6738483337920.

The previous prime is 10141144313981. The next prime is 10141144314017. The reversal of 10141144314003 is 30041344114101.

10141144314003 is a `hidden beast` number, since 101 + 4 + 114 + 43 + 1 + 400 + 3 = 666.

10141144314003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10141144314003 - 2⁶ = 10141144313939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10141144514003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2010933 + ... + 4932153.

It is an arithmetic number, because the mean of its divisors is an integer number (612361161750).

Almost surely, 2^{10141144314003} is an apocalyptic number.

10141144314003 is a deficient number, since it is larger than the sum of its proper divisors (4555523567997).

10141144314003 is a wasteful number, since it uses less digits than its factorization.

10141144314003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922499 (or 2922496 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10141144314003 its reverse (30041344114101), we get a palindrome (40182488428104).

The spelling of 10141144314003 in words is "ten trillion, one hundred forty-one billion, one hundred forty-four million, three hundred fourteen thousand, three".