34550400313 has 16 divisors (see below), whose sum is σ = 42978370176. Its totient is φ = 27287850240.

The previous prime is 34550400307. The next prime is 34550400317. The reversal of 34550400313 is 31300405543.

It is a cyclic number.

It is not a de Polignac number, because 34550400313 - 2⁹ = 34550399801 is a prime.

It is a super-3 number, since 3×34550400313³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34550400317) 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, 7103781 + ... + 7108642.

It is an arithmetic number, because the mean of its divisors is an integer number (2686148136).

Almost surely, 2^34550400313 is an apocalyptic number.

It is an amenable number.

34550400313 is a deficient number, since it is larger than the sum of its proper divisors (8427969863).

34550400313 is a wasteful number, since it uses less digits than its factorization.

34550400313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14212464.

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 34550400313 its reverse (31300405543), we get a palindrome (65850805856).

The spelling of 34550400313 in words is "thirty-four billion, five hundred fifty million, four hundred thousand, three hundred thirteen".