13032123032101 has 8 divisors (see below), whose sum is σ = 13107841849080. Its totient is φ = 12956408682432.

The previous prime is 13032123032087. The next prime is 13032123032107. The reversal of 13032123032101 is 10123032123031.

It can be written as a sum of positive squares in 4 ways, for example, as 1896060150625 + 11136062881476 = 1376975^2 + 3337074^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 13032123032101 - 2³⁵ = 12997763293733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032123032107) 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 7 ways as a sum of consecutive naturals, for example, 4826155 + ... + 7025383.

It is an arithmetic number, because the mean of its divisors is an integer number (1638480231135).

Almost surely, 2^{13032123032101} is an apocalyptic number.

It is an amenable number.

13032123032101 is a deficient number, since it is larger than the sum of its proper divisors (75718816979).

13032123032101 is a wasteful number, since it uses less digits than its factorization.

13032123032101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233655.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13032123032101 its reverse (10123032123031), we get a palindrome (23155155155132).

The spelling of 13032123032101 in words is "thirteen trillion, thirty-two billion, one hundred twenty-three million, thirty-two thousand, one hundred one".