10021133131020 has 144 divisors (see below), whose sum is σ = 33164000487072. Its totient is φ = 2429134110720.

The previous prime is 10021133130997. The next prime is 10021133131039. The reversal of 10021133131020 is 2013133112001.

10021133131020 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 1 + 331 + 310 + 20 = 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 = 10021133130984 and 10021133131002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21015564 + ... + 21487116.

It is an arithmetic number, because the mean of its divisors is an integer number (230305558938).

Almost surely, 2^{10021133131020} is an apocalyptic number.

10021133131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021133131020 is an abundant number, since it is smaller than the sum of its proper divisors (23142867356052).

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

10021133131020 is a wasteful number, since it uses less digits than its factorization.

10021133131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482312 (or 482307 counting only the distinct ones).

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

Adding to 10021133131020 its reverse (2013133112001), we get a palindrome (12034266243021).

The spelling of 10021133131020 in words is "ten trillion, twenty-one billion, one hundred thirty-three million, one hundred thirty-one thousand, twenty".