100201033131329 has 8 divisors (see below), whose sum is σ = 107910096532392. Its totient is φ = 92492154247680.

The previous prime is 100201033131229. The next prime is 100201033131371. The reversal of 100201033131329 is 923131330102001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 53979364114225 + 46221669017104 = 7347065^2 + 6798652^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100201033131329 - 2⁴⁰ = 99101521503553 is a prime.

It is a super-2 number, since 2×100201033131329² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201033131379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45000464 + ... + 47174609.

It is an arithmetic number, because the mean of its divisors is an integer number (13488762066549).

Almost surely, 2^{100201033131329} is an apocalyptic number.

It is an amenable number.

100201033131329 is a deficient number, since it is larger than the sum of its proper divisors (7709063401063).

100201033131329 is an equidigital number, since it uses as much as digits as its factorization.

100201033131329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92258707.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 100201033131329 in words is "one hundred trillion, two hundred one billion, thirty-three million, one hundred thirty-one thousand, three hundred twenty-nine".