2011344314431 has 16 divisors (see below), whose sum is σ = 2053329412608. Its totient is φ = 1969746760800.

The previous prime is 2011344314363. The next prime is 2011344314449. The reversal of 2011344314431 is 1344134431102.

It is a cyclic number.

It is not a de Polignac number, because 2011344314431 - 2⁷ = 2011344314303 is a prime.

It is a super-2 number, since 2×2011344314431² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011344314393 and 2011344314402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011344314131) 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, 36434256 + ... + 36489418.

It is an arithmetic number, because the mean of its divisors is an integer number (128333088288).

Almost surely, 2^{2011344314431} is an apocalyptic number.

2011344314431 is a deficient number, since it is larger than the sum of its proper divisors (41985098177).

2011344314431 is a wasteful number, since it uses less digits than its factorization.

2011344314431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58662.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 2011344314431 its reverse (1344134431102), we get a palindrome (3355478745533).

The spelling of 2011344314431 in words is "two trillion, eleven billion, three hundred forty-four million, three hundred fourteen thousand, four hundred thirty-one".