10201033301013 has 48 divisors (see below), whose sum is σ = 15743428272000. Its totient is φ = 6346585526400.

The previous prime is 10201033301009. The next prime is 10201033301027. The reversal of 10201033301013 is 31010333010201.

It is a happy number.

It is not a de Polignac number, because 10201033301013 - 2² = 10201033301009 is a prime.

It is a super-2 number, since 2×10201033301013² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201033301513) 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 47 ways as a sum of consecutive naturals, for example, 1903288 + ... + 4901486.

It is an arithmetic number, because the mean of its divisors is an integer number (327988089000).

Almost surely, 2^{10201033301013} is an apocalyptic number.

It is an amenable number.

10201033301013 is a deficient number, since it is larger than the sum of its proper divisors (5542394970987).

10201033301013 is a wasteful number, since it uses less digits than its factorization.

10201033301013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998522 (or 2998519 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10201033301013 its reverse (31010333010201), we get a palindrome (41211366311214).

The spelling of 10201033301013 in words is "ten trillion, two hundred one billion, thirty-three million, three hundred one thousand, thirteen".