3311111100000 has 288 divisors, whose sum is σ = 11851525953792. Its totient is φ = 802692800000.

The previous prime is 3311111099951. The next prime is 3311111100013. The reversal of 3311111100000 is 11111133.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2798317 + ... + 3801683.

It is an arithmetic number, because the mean of its divisors is an integer number (41151131784).

Almost surely, 2^{3311111100000} is an apocalyptic number.

3311111100000 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 3311111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925762976896).

3311111100000 is an abundant number, since it is smaller than the sum of its proper divisors (8540414853792).

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

3311111100000 is a wasteful number, since it uses less digits than its factorization.

3311111100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003416 (or 1003388 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 3311111100000 its reverse (11111133), we get a palindrome (3311122211133).

It can be divided in two parts, 33111 and 11100000, that added together give a palindrome (11133111).

The spelling of 3311111100000 in words is "three trillion, three hundred eleven billion, one hundred eleven million, one hundred thousand".