100223133210333 has 96 divisors (see below), whose sum is σ = 179633678553600. Its totient is φ = 55017163813248.

The previous prime is 100223133210301. The next prime is 100223133210337. The reversal of 100223133210333 is 333012331322001.

100223133210333 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 3 + 1 + 3 + 321 + 0 + 333 = 666.

It is not a de Polignac number, because 100223133210333 - 2⁵ = 100223133210301 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100223133210297 and 100223133210306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100223133210337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9091210 + ... + 16825467.

It is an arithmetic number, because the mean of its divisors is an integer number (1871184151600).

Almost surely, 2^{100223133210333} is an apocalyptic number.

It is an amenable number.

100223133210333 is a deficient number, since it is larger than the sum of its proper divisors (79410545343267).

100223133210333 is a wasteful number, since it uses less digits than its factorization.

100223133210333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25916816 (or 25916803 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 100223133210333 its reverse (333012331322001), we get a palindrome (433235464532334).

The spelling of 100223133210333 in words is "one hundred trillion, two hundred twenty-three billion, one hundred thirty-three million, two hundred ten thousand, three hundred thirty-three".