100333333333331 has 12 divisors (see below), whose sum is σ = 116715439672272. Its totient is φ = 85999149715248.

The previous prime is 100333333333267. The next prime is 100333333333333. The reversal of 100333333333331 is 133333333333001.

It is not a de Polignac number, because 100333333333331 - 2⁶ = 100333333333267 is a prime.

It is a super-4 number, since 4×100333333333331⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 100333333333291 and 100333333333300.

It is not an unprimeable number, because it can be changed into a prime (100333333333333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5090615 + ... + 15052608.

It is an arithmetic number, because the mean of its divisors is an integer number (9726286639356).

Almost surely, 2^{100333333333331} is an apocalyptic number.

100333333333331 is a deficient number, since it is larger than the sum of its proper divisors (16382106338941).

100333333333331 is a wasteful number, since it uses less digits than its factorization.

100333333333331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20244890 (or 20244883 counting only the distinct ones).

The product of its (nonzero) digits is 177147, while the sum is 35.

Adding to 100333333333331 its reverse (133333333333001), we get a palindrome (233666666666332).

The spelling of 100333333333331 in words is "one hundred trillion, three hundred thirty-three billion, three hundred thirty-three million, three hundred thirty-three thousand, three hundred thirty-one".