3313011333114 has 144 divisors (see below), whose sum is σ = 8399114661600. Its totient is φ = 941035209408.

The previous prime is 3313011333113. The next prime is 3313011333133. The reversal of 3313011333114 is 4113331103133.

3313011333114 is a `hidden beast` number, since 3 + 3 + 1 + 301 + 13 + 331 + 14 = 666.

It is not an unprimeable number, because it can be changed into a prime (3313011333113) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141940057 + ... + 141963395.

It is an arithmetic number, because the mean of its divisors is an integer number (58327185150).

Almost surely, 2^{3313011333114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313011333114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199557330800).

3313011333114 is an abundant number, since it is smaller than the sum of its proper divisors (5086103328486).

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

3313011333114 is a wasteful number, since it uses less digits than its factorization.

3313011333114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24297 (or 24287 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 3313011333114 its reverse (4113331103133), we get a palindrome (7426342436247).

The spelling of 3313011333114 in words is "three trillion, three hundred thirteen billion, eleven million, three hundred thirty-three thousand, one hundred fourteen".