1131314456541 has 32 divisors (see below), whose sum is σ = 1672286319360. Its totient is φ = 677715945984.

The previous prime is 1131314456513. The next prime is 1131314456543. The reversal of 1131314456541 is 1456544131311.

It is not a de Polignac number, because 1131314456541 - 2⁹ = 1131314456029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1131314456541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131314456543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7566160 + ... + 7714233.

It is an arithmetic number, because the mean of its divisors is an integer number (52258947480).

Almost surely, 2^{1131314456541} is an apocalyptic number.

It is an amenable number.

1131314456541 is a deficient number, since it is larger than the sum of its proper divisors (540971862819).

1131314456541 is a wasteful number, since it uses less digits than its factorization.

1131314456541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15280485.

The product of its digits is 86400, while the sum is 39.

Adding to 1131314456541 its reverse (1456544131311), we get a palindrome (2587858587852).

The spelling of 1131314456541 in words is "one trillion, one hundred thirty-one billion, three hundred fourteen million, four hundred fifty-six thousand, five hundred forty-one".