10100105310213 has 48 divisors (see below), whose sum is σ = 14905704720816. Its totient is φ = 6587983134720.

The previous prime is 10100105310179. The next prime is 10100105310241. The reversal of 10100105310213 is 31201350100101.

10100105310213 is a `hidden beast` number, since 1 + 0 + 100 + 10 + 531 + 0 + 21 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2214331491969 + 7885773818244 = 1488063^2 + 2808162^2 .

It is not a de Polignac number, because 10100105310213 - 2¹² = 10100105306117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100105310613) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 268879953 + ... + 268917513.

It is an arithmetic number, because the mean of its divisors is an integer number (310535515017).

Almost surely, 2^{10100105310213} is an apocalyptic number.

It is an amenable number.

10100105310213 is a deficient number, since it is larger than the sum of its proper divisors (4805599410603).

10100105310213 is a wasteful number, since it uses less digits than its factorization.

10100105310213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39174 (or 39171 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 10100105310213 its reverse (31201350100101), we get a palindrome (41301455410314).

The spelling of 10100105310213 in words is "ten trillion, one hundred billion, one hundred five million, three hundred ten thousand, two hundred thirteen".