10213031201 has 16 divisors (see below), whose sum is σ = 10600096848. Its totient is φ = 9835084800.

The previous prime is 10213031177. The next prime is 10213031209.

10213031201 is nontrivially palindromic in base 10.

10213031201 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 8 ways, for example, as 84621601 + 10128409600 = 9199^2 + 100640^2 .

It is a cyclic number.

It is not a de Polignac number, because 10213031201 - 2⁶ = 10213031137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10213031209) 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 15 ways as a sum of consecutive naturals, for example, 601691 + ... + 618431.

It is an arithmetic number, because the mean of its divisors is an integer number (662506053).

Almost surely, 2^10213031201 is an apocalyptic number.

It is an amenable number.

10213031201 is a deficient number, since it is larger than the sum of its proper divisors (387065647).

10213031201 is a wasteful number, since it uses less digits than its factorization.

10213031201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17012.

The product of its (nonzero) digits is 36, while the sum is 14.

It can be divided in two parts, 102130 and 31201, that added together give a palindrome (133331).

The spelling of 10213031201 in words is "ten billion, two hundred thirteen million, thirty-one thousand, two hundred one".