3311133102000 has 120 divisors (see below), whose sum is σ = 11564684277120. Its totient is φ = 882968822400.

The previous prime is 3311133101977. The next prime is 3311133102001. The reversal of 3311133102000 is 2013311133.

It is a happy number.

3311133102000 is a `hidden beast` number, since 3 + 311 + 1 + 331 + 0 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3311133102001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91957920 + ... + 91993919.

It is an arithmetic number, because the mean of its divisors is an integer number (96372368976).

Almost surely, 2^{3311133102000} is an apocalyptic number.

3311133102000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3311133102000 is an abundant number, since it is smaller than the sum of its proper divisors (8253551175120).

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

3311133102000 is a wasteful number, since it uses less digits than its factorization.

3311133102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183951868 (or 183951849 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3311133102000 its reverse (2013311133), we get a palindrome (3313146413133).

The spelling of 3311133102000 in words is "three trillion, three hundred eleven billion, one hundred thirty-three million, one hundred two thousand".