211331101133112 has 32 divisors (see below), whose sum is σ = 542606881290000. Its totient is φ = 68539816583424.

The previous prime is 211331101133077. The next prime is 211331101133143.

211331101133112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211331101133112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118992736237 + ... + 118992738012.

Almost surely, 2^{211331101133112} is an apocalyptic number.

It is an amenable number.

211331101133112 is an abundant number, since it is smaller than the sum of its proper divisors (331275780156888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211331101133112 is a wasteful number, since it uses less digits than its factorization.

211331101133112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237985474295 (or 237985474291 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

It can be divided in two parts, 21133110 and 1133112, that added together give a palindrome (22266222).

The spelling of 211331101133112 in words is "two hundred eleven trillion, three hundred thirty-one billion, one hundred one million, one hundred thirty-three thousand, one hundred twelve".