4113001202310 has 768 divisors, whose sum is σ = 15399309219840. Its totient is φ = 733268090880.

The previous prime is 4113001202263. The next prime is 4113001202341. The reversal of 4113001202310 is 132021003114.

4113001202310 is a `hidden beast` number, since 4 + 11 + 300 + 120 + 231 + 0 = 666.

It is a super-2 number, since 2×4113001202310² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 90697962 + ... + 90743298.

It is an arithmetic number, because the mean of its divisors is an integer number (20051183880).

Almost surely, 2^{4113001202310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4113001202310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7699654609920).

4113001202310 is an abundant number, since it is smaller than the sum of its proper divisors (11286308017530).

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

4113001202310 is a wasteful number, since it uses less digits than its factorization.

4113001202310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45453 (or 45450 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 4113001202310 its reverse (132021003114), we get a palindrome (4245022205424).

The spelling of 4113001202310 in words is "four trillion, one hundred thirteen billion, one million, two hundred two thousand, three hundred ten".