13101332213101 has 16 divisors (see below), whose sum is σ = 14563167785280. Its totient is φ = 11684665998720.

The previous prime is 13101332213083. The next prime is 13101332213119. The reversal of 13101332213101 is 10131223310131.

13101332213101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13101332213083) and next prime (13101332213119).

It is not a de Polignac number, because 13101332213101 - 2¹⁹ = 13101331688813 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 (13101332213131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6642526 + ... + 8386048.

It is an arithmetic number, because the mean of its divisors is an integer number (910197986580).

Almost surely, 2^{13101332213101} is an apocalyptic number.

13101332213101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13101332213101 is a deficient number, since it is larger than the sum of its proper divisors (1461835572179).

13101332213101 is a wasteful number, since it uses less digits than its factorization.

13101332213101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756476.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13101332213101 its reverse (10131223310131), we get a palindrome (23232555523232).

The spelling of 13101332213101 in words is "thirteen trillion, one hundred one billion, three hundred thirty-two million, two hundred thirteen thousand, one hundred one".