1001034044341 has 8 divisors (see below), whose sum is σ = 1011439370520. Its totient is φ = 990655852032.

The previous prime is 1001034044317. The next prime is 1001034044399. The reversal of 1001034044341 is 1434404301001.

1001034044341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 41839066116 + 959194978225 = 204546^2 + 979385^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001034044341 - 2¹⁵ = 1001034011573 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001034044041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6709296 + ... + 6856873.

It is an arithmetic number, because the mean of its divisors is an integer number (126429921315).

Almost surely, 2^{1001034044341} is an apocalyptic number.

It is an amenable number.

1001034044341 is a deficient number, since it is larger than the sum of its proper divisors (10405326179).

1001034044341 is a wasteful number, since it uses less digits than its factorization.

1001034044341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13566935.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1001034044341 its reverse (1434404301001), we get a palindrome (2435438345342).

The spelling of 1001034044341 in words is "one trillion, one billion, thirty-four million, forty-four thousand, three hundred forty-one".