1311251331 has 32 divisors (see below), whose sum is σ = 1953183232. Its totient is φ = 777288960.

The previous prime is 1311251317. The next prime is 1311251407. The reversal of 1311251331 is 1331521131.

It is not a de Polignac number, because 1311251331 - 2⁷ = 1311251203 is a prime.

It is a super-2 number, since 2×1311251331² = 3438760106098543122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311251298 and 1311251307.

It is not an unprimeable number, because it can be changed into a prime (1311251131) 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 31 ways as a sum of consecutive naturals, for example, 117066 + ... + 127776.

It is an arithmetic number, because the mean of its divisors is an integer number (61036976).

Almost surely, 2^1311251331 is an apocalyptic number.

1311251331 is a deficient number, since it is larger than the sum of its proper divisors (641931901).

1311251331 is a wasteful number, since it uses less digits than its factorization.

1311251331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10843.

The product of its digits is 270, while the sum is 21.

The square root of 1311251331 is about 36211.2044952940. The cubic root of 1311251331 is about 1094.5324640255.

Adding to 1311251331 its reverse (1331521131), we get a palindrome (2642772462).

The spelling of 1311251331 in words is "one billion, three hundred eleven million, two hundred fifty-one thousand, three hundred thirty-one".