13131001331401 has 2 divisors, whose sum is σ = 13131001331402. Its totient is φ = 13131001331400.

The previous prime is 13131001331369. The next prime is 13131001331419. The reversal of 13131001331401 is 10413310013131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10028115558400 + 3102885773001 = 3166720^2 + 1761501^2 .

It is an emirp because it is prime and its reverse (10413310013131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13131001331401 - 2⁵ = 13131001331369 is a prime.

It is not a weakly prime, because it can be changed into another prime (13131001331471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565500665700 + 6565500665701.

It is an arithmetic number, because the mean of its divisors is an integer number (6565500665701).

Almost surely, 2^{13131001331401} is an apocalyptic number.

It is an amenable number.

13131001331401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131001331401 is an equidigital number, since it uses as much as digits as its factorization.

13131001331401 is an evil number, because the sum of its binary digits is even.

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

Adding to 13131001331401 its reverse (10413310013131), we get a palindrome (23544311344532).

The spelling of 13131001331401 in words is "thirteen trillion, one hundred thirty-one billion, one million, three hundred thirty-one thousand, four hundred one".