34135231313000 has 64 divisors (see below), whose sum is σ = 79881146205120. Its totient is φ = 13653288264000.

The previous prime is 34135231312979. The next prime is 34135231313009. The reversal of 34135231313000 is 31313253143.

It is not an unprimeable number, because it can be changed into a prime (34135231313009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16126235 + ... + 18119765.

It is an arithmetic number, because the mean of its divisors is an integer number (1248142909455).

Almost surely, 2^{34135231313000} is an apocalyptic number.

It is an amenable number.

34135231313000 is an abundant number, since it is smaller than the sum of its proper divisors (45745914892120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34135231313000 is a wasteful number, since it uses less digits than its factorization.

34135231313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010675 (or 2010661 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

Adding to 34135231313000 its reverse (31313253143), we get a palindrome (34166544566143).

The spelling of 34135231313000 in words is "thirty-four trillion, one hundred thirty-five billion, two hundred thirty-one million, three hundred thirteen thousand".