3312000213000 has 512 divisors, whose sum is σ = 10790382919680. Its totient is φ = 845095680000.

The previous prime is 3312000212951. The next prime is 3312000213043. The reversal of 3312000213000 is 3120002133.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2233310259 + ... + 2233311741.

It is an arithmetic number, because the mean of its divisors is an integer number (21074966640).

Almost surely, 2^{3312000213000} is an apocalyptic number.

3312000213000 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 3312000213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395191459840).

3312000213000 is an abundant number, since it is smaller than the sum of its proper divisors (7478382706680).

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

3312000213000 is a wasteful number, since it uses less digits than its factorization.

3312000213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 3312000213000 its reverse (3120002133), we get a palindrome (3315120215133).

The spelling of 3312000213000 in words is "three trillion, three hundred twelve billion, two hundred thirteen thousand".