10002142010213 has 8 divisors (see below), whose sum is σ = 10004261398680. Its totient is φ = 10000022814720.

The previous prime is 10002142010197. The next prime is 10002142010219. The reversal of 10002142010213 is 31201024120001.

10002142010213 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 4445759599009 + 5556382411204 = 2108497^2 + 2357198^2 .

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 10002142010213 - 2⁴ = 10002142010197 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002142010191 and 10002142010200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002142010219) 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, 148938623 + ... + 149005763.

It is an arithmetic number, because the mean of its divisors is an integer number (1250532674835).

Almost surely, 2^{10002142010213} is an apocalyptic number.

It is an amenable number.

10002142010213 is a deficient number, since it is larger than the sum of its proper divisors (2119388467).

10002142010213 is an equidigital number, since it uses as much as digits as its factorization.

10002142010213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96487.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10002142010213 its reverse (31201024120001), we get a palindrome (41203166130214).

The spelling of 10002142010213 in words is "ten trillion, two billion, one hundred forty-two million, ten thousand, two hundred thirteen".