1200113310 has 64 divisors (see below), whose sum is σ = 3173313024. Its totient is φ = 288048000.

The previous prime is 1200113267. The next prime is 1200113311. The reversal of 1200113310 is 133110021.

It is a super-3 number, since 3×1200113310³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200113311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15327 + ... + 51333.

It is an arithmetic number, because the mean of its divisors is an integer number (49583016).

Almost surely, 2^1200113310 is an apocalyptic number.

1200113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200113310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586656512).

1200113310 is an abundant number, since it is smaller than the sum of its proper divisors (1973199714).

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

1200113310 is a wasteful number, since it uses less digits than its factorization.

1200113310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36129.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1200113310 is about 34642.6516017467. The cubic root of 1200113310 is about 1062.6920153084.

Adding to 1200113310 its reverse (133110021), we get a palindrome (1333223331).

It can be divided in two parts, 120011 and 3310, that added together give a palindrome (123321).

The spelling of 1200113310 in words is "one billion, two hundred million, one hundred thirteen thousand, three hundred ten".