1311235133 has 8 divisors (see below), whose sum is σ = 1419903576. Its totient is φ = 1203681600.

The previous prime is 1311235111. The next prime is 1311235139. The reversal of 1311235133 is 3315321131.

It can be written as a sum of positive squares in 4 ways, for example, as 21132409 + 1290102724 = 4597^2 + 35918^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1311235133 - 2²⁰ = 1310186557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1311235099 and 1311235108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311235139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276278 + ... + 280983.

It is an arithmetic number, because the mean of its divisors is an integer number (177487947).

Almost surely, 2^1311235133 is an apocalyptic number.

1311235133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1311235133 is a deficient number, since it is larger than the sum of its proper divisors (108668443).

1311235133 is a wasteful number, since it uses less digits than its factorization.

1311235133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557455.

The product of its digits is 810, while the sum is 23.

The square root of 1311235133 is about 36210.9808345480. The cubic root of 1311235133 is about 1094.5279570558.

Adding to 1311235133 its reverse (3315321131), we get a palindrome (4626556264).

The spelling of 1311235133 in words is "one billion, three hundred eleven million, two hundred thirty-five thousand, one hundred thirty-three".