34323431031401 has 2 divisors, whose sum is σ = 34323431031402. Its totient is φ = 34323431031400.

The previous prime is 34323431031371. The next prime is 34323431031403. The reversal of 34323431031401 is 10413013432343.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30374868595600 + 3948562435801 = 5511340^2 + 1987099^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34323431031401 is a prime.

It is a super-2 number, since 2×34323431031401² (a number of 28 digits) contains 22 as substring.

Together with 34323431031403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34323431031403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17161715515700 + 17161715515701.

It is an arithmetic number, because the mean of its divisors is an integer number (17161715515701).

Almost surely, 2^{34323431031401} is an apocalyptic number.

It is an amenable number.

34323431031401 is a deficient number, since it is larger than the sum of its proper divisors (1).

34323431031401 is an equidigital number, since it uses as much as digits as its factorization.

34323431031401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 34323431031401 its reverse (10413013432343), we get a palindrome (44736444463744).

The spelling of 34323431031401 in words is "thirty-four trillion, three hundred twenty-three billion, four hundred thirty-one million, thirty-one thousand, four hundred one".