10211002313 has 8 divisors (see below), whose sum is σ = 10405784448. Its totient is φ = 10016298864.

The previous prime is 10211002279. The next prime is 10211002331. The reversal of 10211002313 is 31320011201.

10211002313 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 10211002313 - 2¹⁰ = 10211001289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211002393) 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, 287606 + ... + 321152.

It is an arithmetic number, because the mean of its divisors is an integer number (1300723056).

Almost surely, 2^10211002313 is an apocalyptic number.

It is an amenable number.

10211002313 is a deficient number, since it is larger than the sum of its proper divisors (194782135).

10211002313 is an equidigital number, since it uses as much as digits as its factorization.

10211002313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39343.

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

Adding to 10211002313 its reverse (31320011201), we get a palindrome (41531013514).

The spelling of 10211002313 in words is "ten billion, two hundred eleven million, two thousand, three hundred thirteen".