2301133120 has 112 divisors (see below), whose sum is σ = 6437668608. Its totient is φ = 772392960.

The previous prime is 2301133099. The next prime is 2301133127. The reversal of 2301133120 is 213311032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2301133094 and 2301133103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301133127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20617 + ... + 70903.

It is an arithmetic number, because the mean of its divisors is an integer number (57479184).

Almost surely, 2^2301133120 is an apocalyptic number.

2301133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218834304).

2301133120 is an abundant number, since it is smaller than the sum of its proper divisors (4136535488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2301133120 is a wasteful number, since it uses less digits than its factorization.

2301133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50328 (or 50318 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2301133120 is about 47970.1273711046. The cubic root of 2301133120 is about 1320.2228579953. Note that the first 3 decimals are identical.

Adding to 2301133120 its reverse (213311032), we get a palindrome (2514444152).

The spelling of 2301133120 in words is "two billion, three hundred one million, one hundred thirty-three thousand, one hundred twenty".