10120133310 has 64 divisors (see below), whose sum is σ = 27807708672. Its totient is φ = 2309037696.

The previous prime is 10120133273. The next prime is 10120133321. The reversal of 10120133310 is 1333102101.

It is a super-2 number, since 2×10120133310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10120133310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75432 + ... + 161028.

It is an arithmetic number, because the mean of its divisors is an integer number (434495448).

Almost surely, 2^10120133310 is an apocalyptic number.

10120133310 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 10120133310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13903854336).

10120133310 is an abundant number, since it is smaller than the sum of its proper divisors (17687575362).

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

10120133310 is a wasteful number, since it uses less digits than its factorization.

10120133310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86177.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10120133310 its reverse (1333102101), we get a palindrome (11453235411).

The spelling of 10120133310 in words is "ten billion, one hundred twenty million, one hundred thirty-three thousand, three hundred ten".