10143400013000 has 64 divisors (see below), whose sum is σ = 25131765250800. Its totient is φ = 3818691763200.

The previous prime is 10143400012979. The next prime is 10143400013053. The reversal of 10143400013000 is 31000434101.

It can be written as a sum of positive squares in 8 ways, for example, as 538147204 + 10142861865796 = 23198^2 + 3184786^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 10143400013000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 298318295 + ... + 298352294.

Almost surely, 2^{10143400013000} is an apocalyptic number.

10143400013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10143400013000 is an abundant number, since it is smaller than the sum of its proper divisors (14988365237800).

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

10143400013000 is a wasteful number, since it uses less digits than its factorization.

10143400013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596670627 (or 596670613 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10143400013000 its reverse (31000434101), we get a palindrome (10174400447101).

The spelling of 10143400013000 in words is "ten trillion, one hundred forty-three billion, four hundred million, thirteen thousand".