1010130133320 has 768 divisors, whose sum is σ = 4308520377600. Its totient is φ = 209882534400.

The previous prime is 1010130133291. The next prime is 1010130133343. The reversal of 1010130133320 is 233310310101.

It is a happy number.

1010130133320 is a `hidden beast` number, since 1 + 0 + 10 + 1 + 301 + 33 + 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 = 1010130133293 and 1010130133302.

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 191 ways as a sum of consecutive naturals, for example, 70429350 + ... + 70443690.

It is an arithmetic number, because the mean of its divisors is an integer number (5610052575).

Almost surely, 2^{1010130133320} is an apocalyptic number.

1010130133320 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 1010130133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154260188800).

1010130133320 is an abundant number, since it is smaller than the sum of its proper divisors (3298390244280).

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

1010130133320 is a wasteful number, since it uses less digits than its factorization.

1010130133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14408 (or 14369 counting only the distinct ones).

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

Adding to 1010130133320 its reverse (233310310101), we get a palindrome (1243440443421).

The spelling of 1010130133320 in words is "one trillion, ten billion, one hundred thirty million, one hundred thirty-three thousand, three hundred twenty".