10200142243213 has 8 divisors (see below), whose sum is σ = 10984828019256. Its totient is φ = 9415464960000.

The previous prime is 10200142243139. The next prime is 10200142243243. The reversal of 10200142243213 is 31234224100201.

It can be written as a sum of positive squares in 4 ways, for example, as 5127566234569 + 5072576008644 = 2264413^2 + 2252238^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10200142243213 - 2¹⁷ = 10200142112141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200142243243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 490413 + ... + 4543213.

It is an arithmetic number, because the mean of its divisors is an integer number (1373103502407).

Almost surely, 2^{10200142243213} is an apocalyptic number.

10200142243213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10200142243213 is a deficient number, since it is larger than the sum of its proper divisors (784685776043).

10200142243213 is a wasteful number, since it uses less digits than its factorization.

10200142243213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246415.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10200142243213 its reverse (31234224100201), we get a palindrome (41434366343414).

The spelling of 10200142243213 in words is "ten trillion, two hundred billion, one hundred forty-two million, two hundred forty-three thousand, two hundred thirteen".