1271136321 has 80 divisors (see below), whose sum is σ = 2348615808. Its totient is φ = 667180800.

The previous prime is 1271136311. The next prime is 1271136337. The reversal of 1271136321 is 1236311721.

1271136321 is a `hidden beast` number, since 1 + 27 + 1 + 1 + 3 + 632 + 1 = 666.

It is not a de Polignac number, because 1271136321 - 2⁵ = 1271136289 is a prime.

It is a super-3 number, since 3×1271136321³ (a number of 28 digits) contains 333 as substring.

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 (1271136301) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2439541 + ... + 2440061.

Almost surely, 2^1271136321 is an apocalyptic number.

It is an amenable number.

1271136321 is a deficient number, since it is larger than the sum of its proper divisors (1077479487).

1271136321 is a wasteful number, since it uses less digits than its factorization.

1271136321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 875 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 1271136321 is about 35652.9987658822. The cubic root of 1271136321 is about 1083.2550177916.

The spelling of 1271136321 in words is "one billion, two hundred seventy-one million, one hundred thirty-six thousand, three hundred twenty-one".