34021313000 has 32 divisors (see below), whose sum is σ = 79609874760. Its totient is φ = 13608524800.

The previous prime is 34021312973. The next prime is 34021313003. The reversal of 34021313000 is 31312043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2777922436 + 31243390564 = 52706^2 + 176758^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34021313000.

It is not an unprimeable number, because it can be changed into a prime (34021313003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17009657 + ... + 17011656.

Almost surely, 2^34021313000 is an apocalyptic number.

It is an amenable number.

34021313000 is an abundant number, since it is smaller than the sum of its proper divisors (45588561760).

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

34021313000 is a wasteful number, since it uses less digits than its factorization.

34021313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34021334 (or 34021320 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 34021313000 its reverse (31312043), we get a palindrome (34052625043).

The spelling of 34021313000 in words is "thirty-four billion, twenty-one million, three hundred thirteen thousand".