1011301301311 has 16 divisors (see below), whose sum is σ = 1187206816320. Its totient is φ = 843262030080.

The previous prime is 1011301301287. The next prime is 1011301301347. The reversal of 1011301301311 is 1131031031101.

It is a cyclic number.

It is not a de Polignac number, because 1011301301311 - 2⁵ = 1011301301279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011301331311) 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 15 ways as a sum of consecutive naturals, for example, 1256421 + ... + 1897681.

It is an arithmetic number, because the mean of its divisors is an integer number (74200426020).

Almost surely, 2^{1011301301311} is an apocalyptic number.

1011301301311 is a deficient number, since it is larger than the sum of its proper divisors (175905515009).

1011301301311 is an equidigital number, since it uses as much as digits as its factorization.

1011301301311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647394.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 1011301301311 its reverse (1131031031101), we get a palindrome (2142332332412).

The spelling of 1011301301311 in words is "one trillion, eleven billion, three hundred one million, three hundred one thousand, three hundred eleven".