34311013000 has 256 divisors, whose sum is σ = 89705491200. Its totient is φ = 12179200000.

The previous prime is 34311012997. The next prime is 34311013007. The reversal of 34311013000 is 31011343.

It is a super-2 number, since 2×34311013000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34311013007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98878827 + ... + 98879173.

It is an arithmetic number, because the mean of its divisors is an integer number (350412075).

Almost surely, 2^34311013000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34311013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44852745600).

34311013000 is an abundant number, since it is smaller than the sum of its proper divisors (55394478200).

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

34311013000 is a wasteful number, since it uses less digits than its factorization.

34311013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 34311013000 its reverse (31011343), we get a palindrome (34342024343).

The spelling of 34311013000 in words is "thirty-four billion, three hundred eleven million, thirteen thousand".