2310113010100 has 144 divisors (see below), whose sum is σ = 5818774824576. Its totient is φ = 779680512000.

The previous prime is 2310113010061. The next prime is 2310113010103. The reversal of 2310113010100 is 10103110132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2310113010103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26579715 + ... + 26666485.

It is an arithmetic number, because the mean of its divisors is an integer number (40408158504).

Almost surely, 2^{2310113010100} is an apocalyptic number.

2310113010100 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 2310113010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909387412288).

2310113010100 is an abundant number, since it is smaller than the sum of its proper divisors (3508661814476).

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

2310113010100 is a wasteful number, since it uses less digits than its factorization.

2310113010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87386 (or 87379 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 2310113010100 its reverse (10103110132), we get a palindrome (2320216120232).

The spelling of 2310113010100 in words is "two trillion, three hundred ten billion, one hundred thirteen million, ten thousand, one hundred".