3312103113000 has 1152 divisors, whose sum is σ = 12675905948160. Its totient is φ = 779061888000.

The previous prime is 3312103112963. The next prime is 3312103113001. The reversal of 3312103113000 is 3113012133.

It is a happy number.

3312103113000 is a `hidden beast` number, since 3 + 31 + 21 + 0 + 311 + 300 + 0 = 666.

It is a super-2 number, since 2×3312103113000² (a number of 26 digits) contains 22 as substring.

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 (3312103113001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8342828802 + ... + 8342829198.

It is an arithmetic number, because the mean of its divisors is an integer number (11003390580).

Almost surely, 2^{3312103113000} is an apocalyptic number.

3312103113000 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 3312103113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337952974080).

3312103113000 is an abundant number, since it is smaller than the sum of its proper divisors (9363802835160).

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

3312103113000 is a wasteful number, since it uses less digits than its factorization.

3312103113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 628 counting only the distinct ones).

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

Adding to 3312103113000 its reverse (3113012133), we get a palindrome (3315216125133).

The spelling of 3312103113000 in words is "three trillion, three hundred twelve billion, one hundred three million, one hundred thirteen thousand".