1101131312993 has 2 divisors, whose sum is σ = 1101131312994. Its totient is φ = 1101131312992.

The previous prime is 1101131312969. The next prime is 1101131313049. The reversal of 1101131312993 is 3992131311011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 831247945984 + 269883367009 = 911728^2 + 519503^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101131312993 - 2¹⁴ = 1101131296609 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1101131312293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550565656496 + 550565656497.

It is an arithmetic number, because the mean of its divisors is an integer number (550565656497).

Almost surely, 2^{1101131312993} is an apocalyptic number.

It is an amenable number.

1101131312993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101131312993 is an equidigital number, since it uses as much as digits as its factorization.

1101131312993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 35.

The spelling of 1101131312993 in words is "one trillion, one hundred one billion, one hundred thirty-one million, three hundred twelve thousand, nine hundred ninety-three".