2113431442111 has 32 divisors (see below), whose sum is σ = 2336770275840. Its totient is φ = 1895502643200.

The previous prime is 2113431442061. The next prime is 2113431442121. The reversal of 2113431442111 is 1112441343112.

It is a 16-Lehmer number, since φ(2113431442111) divides (2113431442111-1)¹⁶.

It is a cyclic number.

It is not a de Polignac number, because 2113431442111 - 2⁷ = 2113431441983 is a prime.

It is a super-2 number, since 2×2113431442111² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2113431442111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113431442121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179448255 + ... + 179460031.

It is an arithmetic number, because the mean of its divisors is an integer number (73024071120).

Almost surely, 2^{2113431442111} is an apocalyptic number.

2113431442111 is a deficient number, since it is larger than the sum of its proper divisors (223338833729).

2113431442111 is a wasteful number, since it uses less digits than its factorization.

2113431442111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12655.

The product of its digits is 2304, while the sum is 28.

Adding to 2113431442111 its reverse (1112441343112), we get a palindrome (3225872785223).

The spelling of 2113431442111 in words is "two trillion, one hundred thirteen billion, four hundred thirty-one million, four hundred forty-two thousand, one hundred eleven".