13031331231001 has 2 divisors, whose sum is σ = 13031331231002. Its totient is φ = 13031331231000.

The previous prime is 13031331230969. The next prime is 13031331231067. The reversal of 13031331231001 is 10013213313031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9899209982601 + 3132121248400 = 3146301^2 + 1769780^2 .

It is an emirp because it is prime and its reverse (10013213313031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13031331231001 - 2⁵ = 13031331230969 is a prime.

It is not a weakly prime, because it can be changed into another prime (13031331231091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6515665615500 + 6515665615501.

It is an arithmetic number, because the mean of its divisors is an integer number (6515665615501).

Almost surely, 2^{13031331231001} is an apocalyptic number.

It is an amenable number.

13031331231001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13031331231001 is an equidigital number, since it uses as much as digits as its factorization.

13031331231001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13031331231001 its reverse (10013213313031), we get a palindrome (23044544544032).

The spelling of 13031331231001 in words is "thirteen trillion, thirty-one billion, three hundred thirty-one million, two hundred thirty-one thousand, one".