3013133013000 has 320 divisors, whose sum is σ = 11490083953920. Its totient is φ = 730456272000.

The previous prime is 3013133012963. The next prime is 3013133013013. The reversal of 3013133013000 is 3103313103.

3013133013000 is a `hidden beast` number, since 3 + 0 + 1 + 31 + 330 + 1 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 79 ways as a sum of consecutive naturals, for example, 799872 + ... + 2581871.

It is an arithmetic number, because the mean of its divisors is an integer number (35906512356).

Almost surely, 2^{3013133013000} is an apocalyptic number.

3013133013000 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 3013133013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745041976960).

3013133013000 is an abundant number, since it is smaller than the sum of its proper divisors (8476950940920).

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

3013133013000 is a wasteful number, since it uses less digits than its factorization.

3013133013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381787 (or 3381764 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 3013133013000 its reverse (3103313103), we get a palindrome (3016236326103).

The spelling of 3013133013000 in words is "three trillion, thirteen billion, one hundred thirty-three million, thirteen thousand".