2303313100 has 72 divisors (see below), whose sum is σ = 5460150528. Its totient is φ = 836404800.

The previous prime is 2303313097. The next prime is 2303313101. The reversal of 2303313100 is 13133032.

It is a super-2 number, since 2×2303313100² = 10610502473263220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2303313101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1432497 + ... + 1434103.

It is an arithmetic number, because the mean of its divisors is an integer number (75835424).

Almost surely, 2^2303313100 is an apocalyptic number.

2303313100 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 2303313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730075264).

2303313100 is an abundant number, since it is smaller than the sum of its proper divisors (3156837428).

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

2303313100 is a wasteful number, since it uses less digits than its factorization.

2303313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 2303313100 is about 47992.8442582850. The cubic root of 2303313100 is about 1320.6396310820.

Adding to 2303313100 its reverse (13133032), we get a palindrome (2316446132).

It can be divided in two parts, 2303 and 313100, that multiplied together give a triangular number (721069300 = T₃₇₉₇₅).

The spelling of 2303313100 in words is "two billion, three hundred three million, three hundred thirteen thousand, one hundred".