2214131010311 has 48 divisors (see below), whose sum is σ = 2589032029920. Its totient is φ = 1886667552000.

The previous prime is 2214131010283. The next prime is 2214131010397. The reversal of 2214131010311 is 1130101314122.

It is not a de Polignac number, because 2214131010311 - 2¹⁴ = 2214130993927 is a prime.

It is a super-2 number, since 2×2214131010311² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214131010811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448838201 + ... + 448843133.

It is an arithmetic number, because the mean of its divisors is an integer number (53938167290).

Almost surely, 2^{2214131010311} is an apocalyptic number.

2214131010311 is a deficient number, since it is larger than the sum of its proper divisors (374901019609).

2214131010311 is a wasteful number, since it uses less digits than its factorization.

2214131010311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7008 (or 6997 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 2214131010311 its reverse (1130101314122), we get a palindrome (3344232324433).

The spelling of 2214131010311 in words is "two trillion, two hundred fourteen billion, one hundred thirty-one million, ten thousand, three hundred eleven".