34013340402001 has 2 divisors, whose sum is σ = 34013340402002. Its totient is φ = 34013340402000.

The previous prime is 34013340401983. The next prime is 34013340402017. The reversal of 34013340402001 is 10020404331043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20828489502976 + 13184850899025 = 4563824^2 + 3631095^2 .

It is an emirp because it is prime and its reverse (10020404331043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34013340402001 - 2⁴¹ = 31814317146449 is a prime.

It is not a weakly prime, because it can be changed into another prime (34013340402071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17006670201000 + 17006670201001.

It is an arithmetic number, because the mean of its divisors is an integer number (17006670201001).

Almost surely, 2^{34013340402001} is an apocalyptic number.

It is an amenable number.

34013340402001 is a deficient number, since it is larger than the sum of its proper divisors (1).

34013340402001 is an equidigital number, since it uses as much as digits as its factorization.

34013340402001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 34013340402001 its reverse (10020404331043), we get a palindrome (44033744733044).

The spelling of 34013340402001 in words is "thirty-four trillion, thirteen billion, three hundred forty million, four hundred two thousand, one".