10031133022020 has 240 divisors, whose sum is σ = 36135544737600. Its totient is φ = 2303800807680.

The previous prime is 10031133022019. The next prime is 10031133022049. The reversal of 10031133022020 is 2022033113001.

10031133022020 is a `hidden beast` number, since 1 + 0 + 0 + 311 + 330 + 2 + 2 + 0 + 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 = 10031133021984 and 10031133022002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14474955 + ... + 15152114.

It is an arithmetic number, because the mean of its divisors is an integer number (150564769740).

Almost surely, 2^{10031133022020} is an apocalyptic number.

10031133022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031133022020 is an abundant number, since it is smaller than the sum of its proper divisors (26104411715580).

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

10031133022020 is a wasteful number, since it uses less digits than its factorization.

10031133022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29627120 (or 29627109 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10031133022020 its reverse (2022033113001), we get a palindrome (12053166135021).

The spelling of 10031133022020 in words is "ten trillion, thirty-one billion, one hundred thirty-three million, twenty-two thousand, twenty".