10120133101320 has 384 divisors, whose sum is σ = 37947976934400. Its totient is φ = 2313222105600.

The previous prime is 10120133101291. The next prime is 10120133101333. The reversal of 10120133101320 is 2310133102101.

10120133101320 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 13 + 310 + 1 + 320 = 666.

It is a super-2 number, since 2×10120133101320² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10120133101293 and 10120133101302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15556909 + ... + 16194371.

It is an arithmetic number, because the mean of its divisors is an integer number (98822856600).

Almost surely, 2^{10120133101320} is an apocalyptic number.

10120133101320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120133101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18973988467200).

10120133101320 is an abundant number, since it is smaller than the sum of its proper divisors (27827843833080).

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

10120133101320 is a wasteful number, since it uses less digits than its factorization.

10120133101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637721 (or 637714 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10120133101320 its reverse (2310133102101), we get a palindrome (12430266203421).

The spelling of 10120133101320 in words is "ten trillion, one hundred twenty billion, one hundred thirty-three million, one hundred one thousand, three hundred twenty".