10211102313 has 16 divisors (see below), whose sum is σ = 13651882560. Its totient is φ = 6788889536.

The previous prime is 10211102273. The next prime is 10211102327. The reversal of 10211102313 is 31320111201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10211102313 - 2⁹ = 10211101801 is a prime.

It is a super-2 number, since 2×10211102313² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10211102292 and 10211102301.

It is not an unprimeable number, because it can be changed into a prime (10211102383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1920703 + ... + 1926011.

It is an arithmetic number, because the mean of its divisors is an integer number (853242660).

Almost surely, 2^10211102313 is an apocalyptic number.

It is an amenable number.

10211102313 is a deficient number, since it is larger than the sum of its proper divisors (3440780247).

10211102313 is an equidigital number, since it uses as much as digits as its factorization.

10211102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6936.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10211102313 its reverse (31320111201), we get a palindrome (41531213514).

The spelling of 10211102313 in words is "ten billion, two hundred eleven million, one hundred two thousand, three hundred thirteen".