2135323013 has 16 divisors (see below), whose sum is σ = 2246662656. Its totient is φ = 2025606000.

The previous prime is 2135322979. The next prime is 2135323019. The reversal of 2135323013 is 3103235312.

It is a cyclic number.

It is not a de Polignac number, because 2135323013 - 2⁶ = 2135322949 is a prime.

It is a super-3 number, since 3×2135323013³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2135323013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135323019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1633106 + ... + 1634412.

It is an arithmetic number, because the mean of its divisors is an integer number (140416416).

Almost surely, 2^2135323013 is an apocalyptic number.

2135323013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2135323013 is a deficient number, since it is larger than the sum of its proper divisors (111339643).

2135323013 is a wasteful number, since it uses less digits than its factorization.

2135323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864.

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 2135323013 is about 46209.5554295862. Note that the first 3 decimals coincide. The cubic root of 2135323013 is about 1287.7192664923.

Adding to 2135323013 its reverse (3103235312), we get a palindrome (5238558325).

The spelling of 2135323013 in words is "two billion, one hundred thirty-five million, three hundred twenty-three thousand, thirteen".