10213133313123 has 96 divisors (see below), whose sum is σ = 16223839684416. Its totient is φ = 6153059303424.

The previous prime is 10213133313067. The next prime is 10213133313217. The reversal of 10213133313123 is 32131333131201.

10213133313123 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 3 + 13 + 331 + 312 + 3 = 666.

It is not a de Polignac number, because 10213133313123 - 2¹⁶ = 10213133247587 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10213133315123) 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 95 ways as a sum of consecutive naturals, for example, 920677165 + ... + 920688257.

It is an arithmetic number, because the mean of its divisors is an integer number (168998330046).

Almost surely, 2^{10213133313123} is an apocalyptic number.

10213133313123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10213133313123 is a deficient number, since it is larger than the sum of its proper divisors (6010706371293).

10213133313123 is a wasteful number, since it uses less digits than its factorization.

10213133313123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11893 (or 11890 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 10213133313123 its reverse (32131333131201), we get a palindrome (42344466444324).

The spelling of 10213133313123 in words is "ten trillion, two hundred thirteen billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred twenty-three".