10013141213 has 8 divisors (see below), whose sum is σ = 10109383200. Its totient is φ = 9916948720.

The previous prime is 10013141153. The next prime is 10013141221. The reversal of 10013141213 is 31214131001.

10013141213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10013141213 - 2¹² = 10013137117 is a prime.

It is a super-2 number, since 2×10013141213² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10013141191 and 10013141200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013141513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491963 + ... + 511911.

It is an arithmetic number, because the mean of its divisors is an integer number (1263672900).

Almost surely, 2^10013141213 is an apocalyptic number.

It is an amenable number.

10013141213 is a deficient number, since it is larger than the sum of its proper divisors (96241987).

10013141213 is a wasteful number, since it uses less digits than its factorization.

10013141213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24747.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10013141213 its reverse (31214131001), we get a palindrome (41227272214).

The spelling of 10013141213 in words is "ten billion, thirteen million, one hundred forty-one thousand, two hundred thirteen".