1011046105311 has 32 divisors (see below), whose sum is σ = 1487476224000. Its totient is φ = 605731822080.

The previous prime is 1011046105301. The next prime is 1011046105313. The reversal of 1011046105311 is 1135016401101.

It is not a de Polignac number, because 1011046105311 - 2²⁵ = 1011012550879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011046105313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13617090 + ... + 13691136.

It is an arithmetic number, because the mean of its divisors is an integer number (46483632000).

Almost surely, 2^{1011046105311} is an apocalyptic number.

1011046105311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011046105311 is a deficient number, since it is larger than the sum of its proper divisors (476430118689).

1011046105311 is a wasteful number, since it uses less digits than its factorization.

1011046105311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78799.

The product of its (nonzero) digits is 360, while the sum is 24.

The spelling of 1011046105311 in words is "one trillion, eleven billion, forty-six million, one hundred five thousand, three hundred eleven".