34130135351 has 16 divisors (see below), whose sum is σ = 38069287200. Its totient is φ = 30381310848.

The previous prime is 34130135239. The next prime is 34130135359. The reversal of 34130135351 is 15353103143.

It is a cyclic number.

It is not a de Polignac number, because 34130135351 - 2¹⁸ = 34129873207 is a prime.

It is a super-3 number, since 3×34130135351³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130135359) 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, 257045 + ... + 366513.

It is an arithmetic number, because the mean of its divisors is an integer number (2379330450).

Almost surely, 2^34130135351 is an apocalyptic number.

34130135351 is a deficient number, since it is larger than the sum of its proper divisors (3939151849).

34130135351 is a wasteful number, since it uses less digits than its factorization.

34130135351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110338.

The product of its (nonzero) digits is 8100, while the sum is 29.

Adding to 34130135351 its reverse (15353103143), we get a palindrome (49483238494).

The spelling of 34130135351 in words is "thirty-four billion, one hundred thirty million, one hundred thirty-five thousand, three hundred fifty-one".