10133142120 has 80 divisors (see below), whose sum is σ = 34058627460. Its totient is φ = 2702170368.

The previous prime is 10133142083. The next prime is 10133142121. The reversal of 10133142120 is 2124133101.

It can be written as a sum of positive squares in 2 ways, for example, as 8122695876 + 2010446244 = 90126^2 + 44838^2 .

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 = 10133142093 and 10133142102.

It is not an unprimeable number, because it can be changed into a prime (10133142121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1560517 + ... + 1566996.

Almost surely, 2^10133142120 is an apocalyptic number.

10133142120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10133142120 is an abundant number, since it is smaller than the sum of its proper divisors (23925485340).

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

10133142120 is a wasteful number, since it uses less digits than its factorization.

10133142120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127536 (or 3127523 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10133142120 its reverse (2124133101), we get a palindrome (12257275221).

The spelling of 10133142120 in words is "ten billion, one hundred thirty-three million, one hundred forty-two thousand, one hundred twenty".