1011331311133 has 32 divisors (see below), whose sum is σ = 1240020633600. Its totient is φ = 811623637440.

The previous prime is 1011331311077. The next prime is 1011331311149. The reversal of 1011331311133 is 3311131331101.

1011331311133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1011331311133 - 2²¹ = 1011329213981 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 (1011331311233) 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, 20363710 + ... + 20413312.

It is an arithmetic number, because the mean of its divisors is an integer number (38750644800).

Almost surely, 2^{1011331311133} is an apocalyptic number.

1011331311133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1011331311133 is a deficient number, since it is larger than the sum of its proper divisors (228689322467).

1011331311133 is a wasteful number, since it uses less digits than its factorization.

1011331311133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55849.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 1011331311133 its reverse (3311131331101), we get a palindrome (4322462642234).

The spelling of 1011331311133 in words is "one trillion, eleven billion, three hundred thirty-one million, three hundred eleven thousand, one hundred thirty-three".