100013003101331 has 8 divisors (see below), whose sum is σ = 100087818489120. Its totient is φ = 99938210683968.

The previous prime is 100013003101327. The next prime is 100013003101339. The reversal of 100013003101331 is 133101300310001.

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 100013003101331 - 2² = 100013003101327 is a prime.

It is a super-2 number, since 2×100013003101331² (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 (100013003101339) 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, 2973575 + ... + 14452271.

It is an arithmetic number, because the mean of its divisors is an integer number (12510977311140).

Almost surely, 2^{100013003101331} is an apocalyptic number.

100013003101331 is a deficient number, since it is larger than the sum of its proper divisors (74815387789).

100013003101331 is a wasteful number, since it uses less digits than its factorization.

100013003101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11485213.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 100013003101331 its reverse (133101300310001), we get a palindrome (233114303411332).

The spelling of 100013003101331 in words is "one hundred trillion, thirteen billion, three million, one hundred one thousand, three hundred thirty-one".