3331133114100 has 72 divisors (see below), whose sum is σ = 10514267439648. Its totient is φ = 807547420800.

The previous prime is 3331133114083. The next prime is 3331133114131. The reversal of 3331133114100 is 14113311333.

It is a super-2 number, since 2×3331133114100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504713839 + ... + 504720438.

Almost surely, 2^{3331133114100} is an apocalyptic number.

3331133114100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3331133114100 is an abundant number, since it is smaller than the sum of its proper divisors (7183134325548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3331133114100 is a wasteful number, since it uses less digits than its factorization.

3331133114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009434305 (or 1009434298 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 3331133114100 its reverse (14113311333), we get a palindrome (3345246425433).

The spelling of 3331133114100 in words is "three trillion, three hundred thirty-one billion, one hundred thirty-three million, one hundred fourteen thousand, one hundred".