13131321202001 has 2 divisors, whose sum is σ = 13131321202002. Its totient is φ = 13131321202000.

The previous prime is 13131321201983. The next prime is 13131321202037. The reversal of 13131321202001 is 10020212313131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9225464649025 + 3905856552976 = 3037345^2 + 1976324^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131321202001 - 2³⁰ = 13130247460177 is a prime.

It is not a weakly prime, because it can be changed into another prime (13131321201001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565660601000 + 6565660601001.

It is an arithmetic number, because the mean of its divisors is an integer number (6565660601001).

Almost surely, 2^{13131321202001} is an apocalyptic number.

It is an amenable number.

13131321202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131321202001 is an equidigital number, since it uses as much as digits as its factorization.

13131321202001 is an evil number, because the sum of its binary digits is even.

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

Adding to 13131321202001 its reverse (10020212313131), we get a palindrome (23151533515132).

The spelling of 13131321202001 in words is "thirteen trillion, one hundred thirty-one billion, three hundred twenty-one million, two hundred two thousand, one".