10013132100301 has 8 divisors (see below), whose sum is σ = 10924655565600. Its totient is φ = 9101815089840.

The previous prime is 10013132100277. The next prime is 10013132100371. The reversal of 10013132100301 is 10300123131001.

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

It is not a de Polignac number, because 10013132100301 - 2⁷ = 10013132100173 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 (10013132100371) 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, 51512286 + ... + 51706303.

It is an arithmetic number, because the mean of its divisors is an integer number (1365581945700).

Almost surely, 2^{10013132100301} is an apocalyptic number.

10013132100301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10013132100301 is a deficient number, since it is larger than the sum of its proper divisors (911523465299).

10013132100301 is a wasteful number, since it uses less digits than its factorization.

10013132100301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103227419.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10013132100301 its reverse (10300123131001), we get a palindrome (20313255231302).

The spelling of 10013132100301 in words is "ten trillion, thirteen billion, one hundred thirty-two million, one hundred thousand, three hundred one".