10034001041013 has 48 divisors (see below), whose sum is σ = 15017644736640. Its totient is φ = 6448204022400.

The previous prime is 10034001041003. The next prime is 10034001041033. The reversal of 10034001041013 is 31014010043001.

It is not a de Polignac number, because 10034001041013 - 2¹⁴ = 10034001024629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034001041003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435851443 + ... + 435874463.

It is an arithmetic number, because the mean of its divisors is an integer number (312867598680).

Almost surely, 2^{10034001041013} is an apocalyptic number.

It is an amenable number.

10034001041013 is a deficient number, since it is larger than the sum of its proper divisors (4983643695627).

10034001041013 is a wasteful number, since it uses less digits than its factorization.

10034001041013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25690 (or 25687 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10034001041013 its reverse (31014010043001), we get a palindrome (41048011084014).

The spelling of 10034001041013 in words is "ten trillion, thirty-four billion, one million, forty-one thousand, thirteen".