10223133413301 has 20 divisors (see below), whose sum is σ = 15271684336524. Its totient is φ = 6815382120000.

The previous prime is 10223133413299. The next prime is 10223133413347. The reversal of 10223133413301 is 10331433132201.

10223133413301 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 13 + 341 + 3 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7281740340900 + 2941393072401 = 2698470^2 + 1715049^2 .

It is not a de Polignac number, because 10223133413301 - 2¹ = 10223133413299 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 (10223133423301) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20991051 + ... + 21472551.

Almost surely, 2^{10223133413301} is an apocalyptic number.

It is an amenable number.

10223133413301 is a deficient number, since it is larger than the sum of its proper divisors (5048550923223).

10223133413301 is an equidigital number, since it uses as much as digits as its factorization.

10223133413301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743634 (or 743625 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10223133413301 its reverse (10331433132201), we get a palindrome (20554566545502).

The spelling of 10223133413301 in words is "ten trillion, two hundred twenty-three billion, one hundred thirty-three million, four hundred thirteen thousand, three hundred one".