10133120032020 has 72 divisors (see below), whose sum is σ = 30741754437576. Its totient is φ = 2701758865152.

The previous prime is 10133120031977. The next prime is 10133120032099. The reversal of 10133120032020 is 2023002133101.

10133120032020 is a `hidden beast` number, since 1 + 0 + 13 + 312 + 0 + 0 + 320 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 222599014416 + 9910521017604 = 471804^2 + 3148098^2 .

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 = 10133120031984 and 10133120032002.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3033267 + ... + 5428346.

It is an arithmetic number, because the mean of its divisors is an integer number (426968811633).

Almost surely, 2^{10133120032020} is an apocalyptic number.

10133120032020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10133120032020 is an abundant number, since it is smaller than the sum of its proper divisors (20608634405556).

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

10133120032020 is a wasteful number, since it uses less digits than its factorization.

10133120032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8468281 (or 8468276 counting only the distinct ones).

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

Adding to 10133120032020 its reverse (2023002133101), we get a palindrome (12156122165121).

The spelling of 10133120032020 in words is "ten trillion, one hundred thirty-three billion, one hundred twenty million, thirty-two thousand, twenty".