10213322312113 has 8 divisors (see below), whose sum is σ = 10657496930688. Its totient is φ = 9769157454144.

The previous prime is 10213322312107. The next prime is 10213322312117. The reversal of 10213322312113 is 31121322331201.

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 10213322312113 - 2²¹ = 10213320214961 is a prime.

It is a super-2 number, since 2×10213322312113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10213322312117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260445 + ... + 4527082.

It is an arithmetic number, because the mean of its divisors is an integer number (1332187116336).

Almost surely, 2^{10213322312113} is an apocalyptic number.

It is an amenable number.

10213322312113 is a deficient number, since it is larger than the sum of its proper divisors (444174618575).

10213322312113 is an equidigital number, since it uses as much as digits as its factorization.

10213322312113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880303.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 10213322312113 its reverse (31121322331201), we get a palindrome (41334644643314).

The spelling of 10213322312113 in words is "ten trillion, two hundred thirteen billion, three hundred twenty-two million, three hundred twelve thousand, one hundred thirteen".