34130353153241 has 16 divisors (see below), whose sum is σ = 35632510156800. Its totient is φ = 32629717890000.

The previous prime is 34130353153229. The next prime is 34130353153261. The reversal of 34130353153241 is 14235135303143.

It is a cyclic number.

It is not a de Polignac number, because 34130353153241 - 2²⁶ = 34130286044377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34130353153195 and 34130353153204.

It is not an unprimeable number, because it can be changed into a prime (34130353153261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758716436 + ... + 758761418.

It is an arithmetic number, because the mean of its divisors is an integer number (2227031884800).

Almost surely, 2^{34130353153241} is an apocalyptic number.

It is an amenable number.

34130353153241 is a deficient number, since it is larger than the sum of its proper divisors (1502157003559).

34130353153241 is a wasteful number, since it uses less digits than its factorization.

34130353153241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61156.

The product of its (nonzero) digits is 194400, while the sum is 38.

Adding to 34130353153241 its reverse (14235135303143), we get a palindrome (48365488456384).

The spelling of 34130353153241 in words is "thirty-four trillion, one hundred thirty billion, three hundred fifty-three million, one hundred fifty-three thousand, two hundred forty-one".