214100013132 has 48 divisors (see below), whose sum is σ = 555399381600. Its totient is φ = 71324850240.

The previous prime is 214100013091. The next prime is 214100013227. The reversal of 214100013132 is 231310001412.

214100013132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395419 + ... + 764562.

It is an arithmetic number, because the mean of its divisors is an integer number (11570820450).

Almost surely, 2^214100013132 is an apocalyptic number.

It is an amenable number.

214100013132 is an abundant number, since it is smaller than the sum of its proper divisors (341299368468).

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

214100013132 is a wasteful number, since it uses less digits than its factorization.

214100013132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161703 (or 1161695 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 214100013132 its reverse (231310001412), we get a palindrome (445410014544).

The spelling of 214100013132 in words is "two hundred fourteen billion, one hundred million, thirteen thousand, one hundred thirty-two".