34013120441310 has 128 divisors (see below), whose sum is σ = 91323901440000. Its totient is φ = 9008097785856.

The previous prime is 34013120441297. The next prime is 34013120441359. The reversal of 34013120441310 is 1314402131043.

34013120441310 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 31 + 204 + 413 + 10 = 666.

It is a super-2 number, since 2×34013120441310² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30669051 + ... + 31758729.

It is an arithmetic number, because the mean of its divisors is an integer number (713467980000).

Almost surely, 2^{34013120441310} is an apocalyptic number.

34013120441310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34013120441310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45661950720000).

34013120441310 is an abundant number, since it is smaller than the sum of its proper divisors (57310780998690).

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

34013120441310 is a wasteful number, since it uses less digits than its factorization.

34013120441310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090487 (or 1090481 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 34013120441310 its reverse (1314402131043), we get a palindrome (35327522572353).

The spelling of 34013120441310 in words is "thirty-four trillion, thirteen billion, one hundred twenty million, four hundred forty-one thousand, three hundred ten".