10013144401013 has 8 divisors (see below), whose sum is σ = 10783411792608. Its totient is φ = 9242880654384.

The previous prime is 10013144400983. The next prime is 10013144401019. The reversal of 10013144401013 is 31010444131001.

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

It is not a de Polignac number, because 10013144401013 - 2¹⁶ = 10013144335477 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10013144401013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013144401019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8080670 + ... + 9237072.

It is an arithmetic number, because the mean of its divisors is an integer number (1347926474076).

Almost surely, 2^{10013144401013} is an apocalyptic number.

10013144401013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10013144401013 is a deficient number, since it is larger than the sum of its proper divisors (770267391595).

10013144401013 is a wasteful number, since it uses less digits than its factorization.

10013144401013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822483.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 10013144401013 its reverse (31010444131001), we get a palindrome (41023588532014).

The spelling of 10013144401013 in words is "ten trillion, thirteen billion, one hundred forty-four million, four hundred one thousand, thirteen".