1331132121 has 24 divisors (see below), whose sum is σ = 2103314304. Its totient is φ = 804526560.

The previous prime is 1331132119. The next prime is 1331132137. The reversal of 1331132121 is 1212311331.

1331132121 is a `hidden beast` number, since 13 + 311 + 321 + 21 = 666.

It is not a de Polignac number, because 1331132121 - 2¹ = 1331132119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1331132094 and 1331132103.

It is not an unprimeable number, because it can be changed into a prime (1331132021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18015 + ... + 54651.

It is an arithmetic number, because the mean of its divisors is an integer number (87638096).

Almost surely, 2^1331132121 is an apocalyptic number.

1331132121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1331132121 is a deficient number, since it is larger than the sum of its proper divisors (772182183).

1331132121 is a wasteful number, since it uses less digits than its factorization.

1331132121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37021 (or 37018 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1331132121 is about 36484.6833753563. The cubic root of 1331132121 is about 1100.0363957655.

Adding to 1331132121 its reverse (1212311331), we get a palindrome (2543443452).

The spelling of 1331132121 in words is "one billion, three hundred thirty-one million, one hundred thirty-two thousand, one hundred twenty-one".