2101311 has 24 divisors (see below), whose sum is σ = 3210480. Its totient is φ = 1322496.

The previous prime is 2101283. The next prime is 2101313. The reversal of 2101311 is 1131012.

It is not a de Polignac number, because 2101311 - 2⁶ = 2101247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

2101311 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2101293 and 2101302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21615 + ... + 21711.

It is an arithmetic number, because the mean of its divisors is an integer number (133770).

2^2101311 is an apocalyptic number.

2101311 is a deficient number, since it is larger than the sum of its proper divisors (1109169).

2101311 is a wasteful number, since it uses less digits than its factorization.

2101311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2101311 is about 1449.5899420181. The cubic root of 2101311 is about 128.0845591979.

Adding to 2101311 its reverse (1131012), we get a palindrome (3232323).

Subtracting from 2101311 its reverse (1131012), we obtain a cube (970299 = 99³).

It can be divided in two parts, 210 and 1311, that added together give a square (1521 = 39²).

The spelling of 2101311 in words is "two million, one hundred one thousand, three hundred eleven".