133312310310 has 64 divisors (see below), whose sum is σ = 326117430720. Its totient is φ = 34867937280.

The previous prime is 133312310231. The next prime is 133312310311. The reversal of 133312310310 is 13013213331.

It is a super-2 number, since 2×133312310310² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133312310311) 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, 542806 + ... + 749174.

It is an arithmetic number, because the mean of its divisors is an integer number (5095584855).

Almost surely, 2^133312310310 is an apocalyptic number.

133312310310 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 133312310310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163058715360).

133312310310 is an abundant number, since it is smaller than the sum of its proper divisors (192805120410).

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

133312310310 is a wasteful number, since it uses less digits than its factorization.

133312310310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206793.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 133312310310 its reverse (13013213331), we get a palindrome (146325523641).

The spelling of 133312310310 in words is "one hundred thirty-three billion, three hundred twelve million, three hundred ten thousand, three hundred ten".