34003243133001 has 12 divisors (see below), whose sum is σ = 49788614755828. Its totient is φ = 22358296854144.

The previous prime is 34003243132939. The next prime is 34003243133009. The reversal of 34003243133001 is 10033134230043.

34003243133001 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 324 + 3 + 1 + 330 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24942083582025 + 9061159550976 = 4994205^2 + 3010176^2 .

It is not a de Polignac number, because 34003243133001 - 2³³ = 33994653198409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34003243133009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25877657740 + ... + 25877659053.

Almost surely, 2^{34003243133001} is an apocalyptic number.

It is an amenable number.

34003243133001 is a deficient number, since it is larger than the sum of its proper divisors (15785371622827).

34003243133001 is a wasteful number, since it uses less digits than its factorization.

34003243133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51755316872 (or 51755316869 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 34003243133001 its reverse (10033134230043), we get a palindrome (44036377363044).

The spelling of 34003243133001 in words is "thirty-four trillion, three billion, two hundred forty-three million, one hundred thirty-three thousand, one".