3013144100000 has 288 divisors, whose sum is σ = 7585005903552. Its totient is φ = 1177862400000.

The previous prime is 3013144099967. The next prime is 3013144100011. The reversal of 3013144100000 is 14413103.

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, 877698284 + ... + 877701716.

It is an arithmetic number, because the mean of its divisors is an integer number (26336826054).

Almost surely, 2^{3013144100000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013144100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792502951776).

3013144100000 is an abundant number, since it is smaller than the sum of its proper divisors (4571861803552).

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

3013144100000 is an equidigital number, since it uses as much as digits as its factorization.

3013144100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 3013144100000 its reverse (14413103), we get a palindrome (3013158513103).

The spelling of 3013144100000 in words is "three trillion, thirteen billion, one hundred forty-four million, one hundred thousand".