10143045146313 has 24 divisors (see below), whose sum is σ = 15513792241896. Its totient is φ = 6363894528000.

The previous prime is 10143045146281. The next prime is 10143045146323. The reversal of 10143045146313 is 31364154034101.

10143045146313 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 3 + 0 + 4 + 5 + 14 + 631 + 3 = 666.

10143045146313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2595234006729 + 7547811139584 = 1610973^2 + 2747328^2 .

It is not a de Polignac number, because 10143045146313 - 2⁵ = 10143045146281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10143045146323) 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, 736413 + ... + 4563813.

It is an arithmetic number, because the mean of its divisors is an integer number (646408010079).

Almost surely, 2^{10143045146313} is an apocalyptic number.

It is an amenable number.

10143045146313 is a deficient number, since it is larger than the sum of its proper divisors (5370747095583).

10143045146313 is a wasteful number, since it uses less digits than its factorization.

10143045146313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844745 (or 3844742 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10143045146313 in words is "ten trillion, one hundred forty-three billion, forty-five million, one hundred forty-six thousand, three hundred thirteen".