214051131 has 96 divisors (see below), whose sum is σ = 402255360. Its totient is φ = 106748928.

The previous prime is 214051127. The next prime is 214051151. The reversal of 214051131 is 131150412.

It is not a de Polignac number, because 214051131 - 2² = 214051127 is a prime.

It is a super-2 number, since 2×214051131² = 91635773364758322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214051121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1363305 + ... + 1363461.

It is an arithmetic number, because the mean of its divisors is an integer number (4190160).

Almost surely, 2^214051131 is an apocalyptic number.

214051131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

214051131 is a deficient number, since it is larger than the sum of its proper divisors (188204229).

214051131 is a wasteful number, since it uses less digits than its factorization.

214051131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 214051131 is about 14630.4863555522. The cubic root of 214051131 is about 598.1900372147.

The spelling of 214051131 in words is "two hundred fourteen million, fifty-one thousand, one hundred thirty-one".