10133313131223 has 32 divisors (see below), whose sum is σ = 15175330521600. Its totient is φ = 6682533939648.

The previous prime is 10133313131203. The next prime is 10133313131261. The reversal of 10133313131223 is 32213131333101.

10133313131223 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 331 + 313 + 12 + 2 + 3 = 666.

It is not a de Polignac number, because 10133313131223 - 2¹⁸ = 10133312869079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133313131203) 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 31 ways as a sum of consecutive naturals, for example, 3793243 + ... + 5886876.

It is an arithmetic number, because the mean of its divisors is an integer number (474229078800).

Almost surely, 2^{10133313131223} is an apocalyptic number.

10133313131223 is a deficient number, since it is larger than the sum of its proper divisors (5042017390377).

10133313131223 is a wasteful number, since it uses less digits than its factorization.

10133313131223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9680548 (or 9680542 counting only the distinct ones).

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

Adding to 10133313131223 its reverse (32213131333101), we get a palindrome (42346444464324).

The spelling of 10133313131223 in words is "ten trillion, one hundred thirty-three billion, three hundred thirteen million, one hundred thirty-one thousand, two hundred twenty-three".