10201321331013 has 16 divisors (see below), whose sum is σ = 13624285696640. Its totient is φ = 6789623632704.

The previous prime is 10201321331011. The next prime is 10201321331029. The reversal of 10201321331013 is 31013312310201.

It is a happy number.

It is not a de Polignac number, because 10201321331013 - 2¹ = 10201321331011 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 (10201321331011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8119920 + ... + 9291702.

It is an arithmetic number, because the mean of its divisors is an integer number (851517856040).

Almost surely, 2^{10201321331013} is an apocalyptic number.

It is an amenable number.

10201321331013 is a deficient number, since it is larger than the sum of its proper divisors (3422964365627).

10201321331013 is a wasteful number, since it uses less digits than its factorization.

10201321331013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176588.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10201321331013 its reverse (31013312310201), we get a palindrome (41214633641214).

The spelling of 10201321331013 in words is "ten trillion, two hundred one billion, three hundred twenty-one million, three hundred thirty-one thousand, thirteen".