211550013131121 has 32 divisors (see below), whose sum is σ = 358221660204800. Its totient is φ = 120871633259520.

The previous prime is 211550013131063. The next prime is 211550013131129. The reversal of 211550013131121 is 121131310055112.

211550013131121 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 500 + 1 + 3 + 1 + 31 + 121 = 666.

It is not a de Polignac number, because 211550013131121 - 2²⁶ = 211549946022257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (211550013131129) 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, 63598576 + ... + 66842193.

It is an arithmetic number, because the mean of its divisors is an integer number (11194426881400).

Almost surely, 2^{211550013131121} is an apocalyptic number.

211550013131121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211550013131121 is a deficient number, since it is larger than the sum of its proper divisors (146671647073679).

211550013131121 is a wasteful number, since it uses less digits than its factorization.

211550013131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130449366 (or 130449360 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 211550013131121 its reverse (121131310055112), we get a palindrome (332681323186233).

The spelling of 211550013131121 in words is "two hundred eleven trillion, five hundred fifty billion, thirteen million, one hundred thirty-one thousand, one hundred twenty-one".