100405253333 has 16 divisors (see below), whose sum is σ = 125195829120. Its totient is φ = 78228326400.

The previous prime is 100405253327. The next prime is 100405253369. The reversal of 100405253333 is 333352504001.

It is not a de Polignac number, because 100405253333 - 2¹⁸ = 100404991189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100405253296 and 100405253305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100405253233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593333 + ... + 743541.

It is an arithmetic number, because the mean of its divisors is an integer number (7824739320).

Almost surely, 2^100405253333 is an apocalyptic number.

It is an amenable number.

100405253333 is a deficient number, since it is larger than the sum of its proper divisors (24790575787).

100405253333 is a wasteful number, since it uses less digits than its factorization.

100405253333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158908.

The product of its (nonzero) digits is 16200, while the sum is 29.

Adding to 100405253333 its reverse (333352504001), we get a palindrome (433757757334).

The spelling of 100405253333 in words is "one hundred billion, four hundred five million, two hundred fifty-three thousand, three hundred thirty-three".