1020111311311 has 32 divisors (see below), whose sum is σ = 1061610624000. Its totient is φ = 979726250880.

The previous prime is 1020111311287. The next prime is 1020111311321. The reversal of 1020111311311 is 1131131110201.

It is not a de Polignac number, because 1020111311311 - 2²³ = 1020102922703 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020111311321) 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, 377957640 + ... + 377960338.

It is an arithmetic number, because the mean of its divisors is an integer number (33175332000).

Almost surely, 2^{1020111311311} is an apocalyptic number.

1020111311311 is a deficient number, since it is larger than the sum of its proper divisors (41499312689).

1020111311311 is a wasteful number, since it uses less digits than its factorization.

1020111311311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3679.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 1020111311311 its reverse (1131131110201), we get a palindrome (2151242421512).

It can be divided in two parts, 10201 and 11311311, that multiplied together give a palindrome (115386683511).

The spelling of 1020111311311 in words is "one trillion, twenty billion, one hundred eleven million, three hundred eleven thousand, three hundred eleven".