1311253134561 has 12 divisors (see below), whose sum is σ = 1934330865792. Its totient is φ = 855569420856.

The previous prime is 1311253134553. The next prime is 1311253134623. The reversal of 1311253134561 is 1654313521131.

1311253134561 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 253 + 1 + 345 + 61 = 666.

It is not a de Polignac number, because 1311253134561 - 2³ = 1311253134553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1311253134551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1549944181 + ... + 1549945026.

It is an arithmetic number, because the mean of its divisors is an integer number (161194238816).

Almost surely, 2^{1311253134561} is an apocalyptic number.

It is an amenable number.

1311253134561 is a deficient number, since it is larger than the sum of its proper divisors (623077731231).

1311253134561 is a wasteful number, since it uses less digits than its factorization.

1311253134561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099889260 (or 3099889257 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

Adding to 1311253134561 its reverse (1654313521131), we get a palindrome (2965566655692).

The spelling of 1311253134561 in words is "one trillion, three hundred eleven billion, two hundred fifty-three million, one hundred thirty-four thousand, five hundred sixty-one".