3012133113000 has 384 divisors, whose sum is σ = 11131456752000. Its totient is φ = 728577024000.

The previous prime is 3012133112983. The next prime is 3012133113007. The reversal of 3012133113000 is 3113312103.

It is a happy number.

3012133113000 is a `hidden beast` number, since 30 + 1 + 2 + 1 + 331 + 1 + 300 + 0 = 666.

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 (3012133113007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44417119 + ... + 44484881.

It is an arithmetic number, because the mean of its divisors is an integer number (28988168625).

Almost surely, 2^{3012133113000} is an apocalyptic number.

3012133113000 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 3012133113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5565728376000).

3012133113000 is an abundant number, since it is smaller than the sum of its proper divisors (8119323639000).

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

3012133113000 is a wasteful number, since it uses less digits than its factorization.

3012133113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68250 (or 68233 counting only the distinct ones).

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

Adding to 3012133113000 its reverse (3113312103), we get a palindrome (3015246425103).

The spelling of 3012133113000 in words is "three trillion, twelve billion, one hundred thirty-three million, one hundred thirteen thousand".