3311132010000 has 400 divisors, whose sum is σ = 11290305945600. Its totient is φ = 834603840000.

The previous prime is 3311132009993. The next prime is 3311132010007. The reversal of 3311132010000 is 102311133.

It is an interprime number because it is at equal distance from previous prime (3311132009993) and next prime (3311132010007).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3311132010007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 39948601 + ... + 40031399.

It is an arithmetic number, because the mean of its divisors is an integer number (28225764864).

Almost surely, 2^{3311132010000} is an apocalyptic number.

3311132010000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3311132010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645152972800).

3311132010000 is an abundant number, since it is smaller than the sum of its proper divisors (7979173935600).

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

3311132010000 is a wasteful number, since it uses less digits than its factorization.

3311132010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82904 (or 82883 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 3311132010000 its reverse (102311133), we get a palindrome (3311234321133).

The spelling of 3311132010000 in words is "three trillion, three hundred eleven billion, one hundred thirty-two million, ten thousand".