13131033332101 has 32 divisors (see below), whose sum is σ = 14222203430400. Its totient is φ = 12082593600000.

The previous prime is 13131033332057. The next prime is 13131033332141. The reversal of 13131033332101 is 10123333013131.

It is a cyclic number.

It is not a de Polignac number, because 13131033332101 - 2²¹ = 13131031234949 is a prime.

It is a super-3 number, since 3×13131033332101³ (a number of 40 digits) contains 333 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 (13131033332141) 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 31 ways as a sum of consecutive naturals, for example, 1024175271 + ... + 1024188091.

It is an arithmetic number, because the mean of its divisors is an integer number (444443857200).

Almost surely, 2^{13131033332101} is an apocalyptic number.

It is an amenable number.

13131033332101 is a deficient number, since it is larger than the sum of its proper divisors (1091170098299).

13131033332101 is a wasteful number, since it uses less digits than its factorization.

13131033332101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18621.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 13131033332101 its reverse (10123333013131), we get a palindrome (23254366345232).

The spelling of 13131033332101 in words is "thirteen trillion, one hundred thirty-one billion, thirty-three million, three hundred thirty-two thousand, one hundred one".