34103414100033 has 12 divisors (see below), whose sum is σ = 49475598333460. Its totient is φ = 22636327261536.

The previous prime is 34103414100017. The next prime is 34103414100043. The reversal of 34103414100033 is 33000141430143.

It can be written as a sum of positive squares in 2 ways, for example, as 32158970708544 + 1944443391489 = 5670888^2 + 1394433^2 .

It is not a de Polignac number, because 34103414100033 - 2⁴ = 34103414100017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34103414100043) 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, 8273509366 + ... + 8273513487.

Almost surely, 2^{34103414100033} is an apocalyptic number.

It is an amenable number.

34103414100033 is a deficient number, since it is larger than the sum of its proper divisors (15372184233427).

34103414100033 is a wasteful number, since it uses less digits than its factorization.

34103414100033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16547023088 (or 16547023085 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34103414100033 its reverse (33000141430143), we get a palindrome (67103555530176).

The spelling of 34103414100033 in words is "thirty-four trillion, one hundred three billion, four hundred fourteen million, one hundred thousand, thirty-three".