201131121111003 has 64 divisors (see below), whose sum is σ = 305128644624000. Its totient is φ = 130901305582080.

The previous prime is 201131121110971. The next prime is 201131121111061. The reversal of 201131121111003 is 300111121131102.

201131121111003 is a `hidden beast` number, since 20 + 11 + 311 + 211 + 110 + 0 + 3 = 666.

It is not a de Polignac number, because 201131121111003 - 2⁵ = 201131121110971 is a prime.

It is a super-2 number, since 2×201131121111003² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201131121113003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313058725 + ... + 313700537.

It is an arithmetic number, because the mean of its divisors is an integer number (4767635072250).

Almost surely, 2^{201131121111003} is an apocalyptic number.

201131121111003 is a deficient number, since it is larger than the sum of its proper divisors (103997523512997).

201131121111003 is a wasteful number, since it uses less digits than its factorization.

201131121111003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643309 (or 643303 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 201131121111003 its reverse (300111121131102), we get a palindrome (501242242242105).

The spelling of 201131121111003 in words is "two hundred one trillion, one hundred thirty-one billion, one hundred twenty-one million, one hundred eleven thousand, three".