10201101000013 has 8 divisors (see below), whose sum is σ = 12718255792320. Its totient is φ = 7948909870080.

The previous prime is 10201101000001. The next prime is 10201101000047. The reversal of 10201101000013 is 31000010110201.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10201101000013 is a prime.

It is a super-2 number, since 2×10201101000013² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201101000073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66240915508 + ... + 66240915661.

It is an arithmetic number, because the mean of its divisors is an integer number (1589781974040).

Almost surely, 2^{10201101000013} is an apocalyptic number.

It is an amenable number.

10201101000013 is a deficient number, since it is larger than the sum of its proper divisors (2517154792307).

10201101000013 is a wasteful number, since it uses less digits than its factorization.

10201101000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132481831187.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10201101000013 its reverse (31000010110201), we get a palindrome (41201111110214).

The spelling of 10201101000013 in words is "ten trillion, two hundred one billion, one hundred one million, thirteen", and thus it is an aban number.