133120103310 has 192 divisors, whose sum is σ = 368461716480. Its totient is φ = 33281418240.

The previous prime is 133120103257. The next prime is 133120103323. The reversal of 133120103310 is 13301021331.

It is a happy number.

133120103310 is a `hidden beast` number, since 1 + 331 + 2 + 0 + 1 + 0 + 331 + 0 = 666.

133120103310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133120103310² (a number of 23 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 95 ways as a sum of consecutive naturals, for example, 63059155 + ... + 63061265.

It is an arithmetic number, because the mean of its divisors is an integer number (1919071440).

Almost surely, 2^133120103310 is an apocalyptic number.

133120103310 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 133120103310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184230858240).

133120103310 is an abundant number, since it is smaller than the sum of its proper divisors (235341613170).

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

133120103310 is a wasteful number, since it uses less digits than its factorization.

133120103310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133120103310 its reverse (13301021331), we get a palindrome (146421124641).

The spelling of 133120103310 in words is "one hundred thirty-three billion, one hundred twenty million, one hundred three thousand, three hundred ten".