13005211212001 has 2 divisors, whose sum is σ = 13005211212002. Its totient is φ = 13005211212000.

The previous prime is 13005211211963. The next prime is 13005211212017. The reversal of 13005211212001 is 10021211250031.

13005211212001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12997474250401 + 7736961600 = 3605201^2 + 87960^2 .

It is a cyclic number.

It is not a de Polignac number, because 13005211212001 - 2¹⁷ = 13005211080929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13005211212001.

It is not a weakly prime, because it can be changed into another prime (13005211212101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6502605606000 + 6502605606001.

It is an arithmetic number, because the mean of its divisors is an integer number (6502605606001).

Almost surely, 2^{13005211212001} is an apocalyptic number.

It is an amenable number.

13005211212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13005211212001 is an equidigital number, since it uses as much as digits as its factorization.

13005211212001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 19.

Adding to 13005211212001 its reverse (10021211250031), we get a palindrome (23026422462032).

The spelling of 13005211212001 in words is "thirteen trillion, five billion, two hundred eleven million, two hundred twelve thousand, one".