10344100101213 has 32 divisors (see below), whose sum is σ = 13984825478400. Its totient is φ = 6800268036096.

The previous prime is 10344100101199. The next prime is 10344100101227. The reversal of 10344100101213 is 31210100144301.

It is an interprime number because it is at equal distance from previous prime (10344100101199) and next prime (10344100101227).

It is not a de Polignac number, because 10344100101213 - 2⁴² = 5946053590109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10344100101213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344100101613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126680083 + ... + 126761711.

It is an arithmetic number, because the mean of its divisors is an integer number (437025796200).

Almost surely, 2^{10344100101213} is an apocalyptic number.

It is an amenable number.

10344100101213 is a deficient number, since it is larger than the sum of its proper divisors (3640725377187).

10344100101213 is a wasteful number, since it uses less digits than its factorization.

10344100101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83301.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10344100101213 its reverse (31210100144301), we get a palindrome (41554200245514).

The spelling of 10344100101213 in words is "ten trillion, three hundred forty-four billion, one hundred million, one hundred one thousand, two hundred thirteen".