3134444313 has 128 divisors (see below), whose sum is σ = 5807628288. Its totient is φ = 1451520000.

The previous prime is 3134444297. The next prime is 3134444351.

3134444313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3134444313 - 2⁴ = 3134444297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3134444353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13005873 + ... + 13006113.

It is an arithmetic number, because the mean of its divisors is an integer number (45372096).

Almost surely, 2^3134444313 is an apocalyptic number.

3134444313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3134444313 is a deficient number, since it is larger than the sum of its proper divisors (2673183975).

3134444313 is a wasteful number, since it uses less digits than its factorization.

3134444313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407.

The product of its digits is 20736, while the sum is 30.

The square root of 3134444313 is about 55986.1082144491. The cubic root of 3134444313 is about 1463.4802059514.

It can be divided in two parts, 31344 and 44313, that added together give a palindrome (75657).

The spelling of 3134444313 in words is "three billion, one hundred thirty-four million, four hundred forty-four thousand, three hundred thirteen".