100413134353 has 32 divisors (see below), whose sum is σ = 118026613760. Its totient is φ = 83638578240.

The previous prime is 100413134347. The next prime is 100413134357. The reversal of 100413134353 is 353431314001.

It is not a de Polignac number, because 100413134353 - 2²⁹ = 99876263441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100413134357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61715926 + ... + 61717552.

It is an arithmetic number, because the mean of its divisors is an integer number (3688331680).

Almost surely, 2^100413134353 is an apocalyptic number.

It is an amenable number.

100413134353 is a deficient number, since it is larger than the sum of its proper divisors (17613479407).

100413134353 is a wasteful number, since it uses less digits than its factorization.

100413134353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597.

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 100413134353 its reverse (353431314001), we get a palindrome (453844448354).

The spelling of 100413134353 in words is "one hundred billion, four hundred thirteen million, one hundred thirty-four thousand, three hundred fifty-three".