100300113331 has 16 divisors (see below), whose sum is σ = 109895411808. Its totient is φ = 90785030400.

The previous prime is 100300113317. The next prime is 100300113343. The reversal of 100300113331 is 133311003001.

It is a cyclic number.

It is not a de Polignac number, because 100300113331 - 2⁹ = 100300112819 is a prime.

It is a super-3 number, since 3×100300113331³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100300113031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2957551 + ... + 2991271.

It is an arithmetic number, because the mean of its divisors is an integer number (6868463238).

Almost surely, 2^100300113331 is an apocalyptic number.

100300113331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100300113331 is a deficient number, since it is larger than the sum of its proper divisors (9595298477).

100300113331 is a wasteful number, since it uses less digits than its factorization.

100300113331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34902.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 100300113331 its reverse (133311003001), we get a palindrome (233611116332).

The spelling of 100300113331 in words is "one hundred billion, three hundred million, one hundred thirteen thousand, three hundred thirty-one".