3311131002000 has 160 divisors (see below), whose sum is σ = 10691298034560. Its totient is φ = 881627353600.

The previous prime is 3311131001993. The next prime is 3311131002139. The reversal of 3311131002000 is 2001311133.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3535294 + ... + 4372706.

It is an arithmetic number, because the mean of its divisors is an integer number (66820612716).

Almost surely, 2^{3311131002000} is an apocalyptic number.

3311131002000 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 3311131002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5345649017280).

3311131002000 is an abundant number, since it is smaller than the sum of its proper divisors (7380167032560).

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

3311131002000 is a wasteful number, since it uses less digits than its factorization.

3311131002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838098 (or 838082 counting only the distinct ones).

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

Adding to 3311131002000 its reverse (2001311133), we get a palindrome (3313132313133).

The spelling of 3311131002000 in words is "three trillion, three hundred eleven billion, one hundred thirty-one million, two thousand".