211112002101331 has 16 divisors (see below), whose sum is σ = 218104830662400. Its totient is φ = 204215004167328.

The previous prime is 211112002101283. The next prime is 211112002101347. The reversal of 211112002101331 is 133101200211112.

It is a cyclic number.

It is not a de Polignac number, because 211112002101331 - 2²¹ = 211112000004179 is a prime.

It is a super-3 number, since 3×211112002101331³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211112002101299 and 211112002101308.

It is not an unprimeable number, because it can be changed into a prime (211112002104331) 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, 8823250 + ... + 22362328.

It is an arithmetic number, because the mean of its divisors is an integer number (13631551916400).

Almost surely, 2^{211112002101331} is an apocalyptic number.

211112002101331 is a deficient number, since it is larger than the sum of its proper divisors (6992828561069).

211112002101331 is a wasteful number, since it uses less digits than its factorization.

211112002101331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13542618.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 211112002101331 its reverse (133101200211112), we get a palindrome (344213202312443).

The spelling of 211112002101331 in words is "two hundred eleven trillion, one hundred twelve billion, two million, one hundred one thousand, three hundred thirty-one".