3402101431009 has 2 divisors, whose sum is σ = 3402101431010. Its totient is φ = 3402101431008.

The previous prime is 3402101430989. The next prime is 3402101431031. The reversal of 3402101431009 is 9001341012043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2538079128225 + 864022302784 = 1593135^2 + 929528^2 .

It is a cyclic number.

It is not a de Polignac number, because 3402101431009 - 2⁷ = 3402101430881 is a prime.

It is not a weakly prime, because it can be changed into another prime (3402101431409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1701050715504 + 1701050715505.

It is an arithmetic number, because the mean of its divisors is an integer number (1701050715505).

Almost surely, 2^{3402101431009} is an apocalyptic number.

It is an amenable number.

3402101431009 is a deficient number, since it is larger than the sum of its proper divisors (1).

3402101431009 is an equidigital number, since it uses as much as digits as its factorization.

3402101431009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 3402101431009 in words is "three trillion, four hundred two billion, one hundred one million, four hundred thirty-one thousand, nine".