34002003314101 has 4 divisors (see below), whose sum is σ = 34002016385932. Its totient is φ = 34001990242272.

The previous prime is 34002003314087. The next prime is 34002003314161. The reversal of 34002003314101 is 10141330020043.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 3892354139025 + 30109649175076 = 1972905^2 + 5487226^2 .

It is a cyclic number.

It is not a de Polignac number, because 34002003314101 - 2⁹ = 34002003313589 is a prime.

It is a super-2 number, since 2×34002003314101² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34002003314161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1160520 + ... + 8327713.

It is an arithmetic number, because the mean of its divisors is an integer number (8500504096483).

Almost surely, 2^{34002003314101} is an apocalyptic number.

It is an amenable number.

34002003314101 is a deficient number, since it is larger than the sum of its proper divisors (13071831).

34002003314101 is an equidigital number, since it uses as much as digits as its factorization.

34002003314101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13071830.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 34002003314101 its reverse (10141330020043), we get a palindrome (44143333334144).

The spelling of 34002003314101 in words is "thirty-four trillion, two billion, three million, three hundred fourteen thousand, one hundred one".