10133011120320 has 784 divisors, whose sum is σ = 39525621593760. Its totient is φ = 2452786790400.

The previous prime is 10133011120313. The next prime is 10133011120343. The reversal of 10133011120320 is 2302111033101.

10133011120320 is a `hidden beast` number, since 1 + 0 + 1 + 330 + 1 + 1 + 12 + 0 + 320 = 666.

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 = 10133011120293 and 10133011120302.

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 111 ways as a sum of consecutive naturals, for example, 1952784286 + ... + 1952789474.

Almost surely, 2^{10133011120320} is an apocalyptic number.

10133011120320 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 10133011120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19762810796880).

10133011120320 is an abundant number, since it is smaller than the sum of its proper divisors (29392610473440).

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

10133011120320 is an equidigital number, since it uses as much as digits as its factorization.

10133011120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5996 (or 5971 counting only the distinct ones).

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

Adding to 10133011120320 its reverse (2302111033101), we get a palindrome (12435122153421).

The spelling of 10133011120320 in words is "ten trillion, one hundred thirty-three billion, eleven million, one hundred twenty thousand, three hundred twenty".