13132121302001 has 8 divisors (see below), whose sum is σ = 14204041183080. Its totient is φ = 12069023807232.

The previous prime is 13132121301991. The next prime is 13132121302009. The reversal of 13132121302001 is 10020312123131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6683264210401 + 6448857091600 = 2585201^2 + 2539460^2 .

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 13132121302001 - 2³⁸ = 12857243395057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13132121302009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2205593480 + ... + 2205599433.

It is an arithmetic number, because the mean of its divisors is an integer number (1775505147885).

Almost surely, 2^{13132121302001} is an apocalyptic number.

It is an amenable number.

13132121302001 is a deficient number, since it is larger than the sum of its proper divisors (1071919881079).

13132121302001 is a wasteful number, since it uses less digits than its factorization.

13132121302001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411193155.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13132121302001 its reverse (10020312123131), we get a palindrome (23152433425132).

The spelling of 13132121302001 in words is "thirteen trillion, one hundred thirty-two billion, one hundred twenty-one million, three hundred two thousand, one".