3013141000 has 64 divisors (see below), whose sum is σ = 7091912880. Its totient is φ = 1198220800.

The previous prime is 3013140997. The next prime is 3013141003. The reversal of 3013141000 is 1413103.

It is an interprime number because it is at equal distance from previous prime (3013140997) and next prime (3013141003).

It can be written as a sum of positive squares in 8 ways, for example, as 1224020196 + 1789120804 = 34986^2 + 42298^2 .

It is not an unprimeable number, because it can be changed into a prime (3013141003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164292 + ... + 181708.

Almost surely, 2^3013141000 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 3013141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545956440).

3013141000 is an abundant number, since it is smaller than the sum of its proper divisors (4078771880).

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

3013141000 is a wasteful number, since it uses less digits than its factorization.

3013141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17611 (or 17597 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3013141000 is about 54892.0850396485. The cubic root of 3013141000 is about 1444.3523476236.

Adding to 3013141000 its reverse (1413103), we get a palindrome (3014554103).

The spelling of 3013141000 in words is "three billion, thirteen million, one hundred forty-one thousand".