10213313121 has 12 divisors (see below), whose sum is σ = 16093705680. Its totient is φ = 6189886680.

The previous prime is 10213313111. The next prime is 10213313137. The reversal of 10213313121 is 12131331201.

10213313121 is a `hidden beast` number, since 1 + 0 + 21 + 331 + 312 + 1 = 666.

It is not a de Polignac number, because 10213313121 - 2⁹ = 10213312609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10213313094 and 10213313103.

It is not an unprimeable number, because it can be changed into a prime (10213313111) 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 11 ways as a sum of consecutive naturals, for example, 51582291 + ... + 51582488.

It is an arithmetic number, because the mean of its divisors is an integer number (1341142140).

Almost surely, 2^10213313121 is an apocalyptic number.

10213313121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10213313121 is a deficient number, since it is larger than the sum of its proper divisors (5880392559).

10213313121 is a wasteful number, since it uses less digits than its factorization.

10213313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103164796 (or 103164793 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10213313121 its reverse (12131331201), we get a palindrome (22344644322).

The spelling of 10213313121 in words is "ten billion, two hundred thirteen million, three hundred thirteen thousand, one hundred twenty-one".