10142113133020 has 24 divisors (see below), whose sum is σ = 23234659177968. Its totient is φ = 3688041139200.

The previous prime is 10142113133011. The next prime is 10142113133069. The reversal of 10142113133020 is 2033131124101.

10142113133020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10142113132982 and 10142113133000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23050256901 + ... + 23050257340.

It is an arithmetic number, because the mean of its divisors is an integer number (968110799082).

Almost surely, 2^{10142113133020} is an apocalyptic number.

10142113133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142113133020 is an abundant number, since it is smaller than the sum of its proper divisors (13092546044948).

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

10142113133020 is a wasteful number, since it uses less digits than its factorization.

10142113133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46100514261 (or 46100514259 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10142113133020 its reverse (2033131124101), we get a palindrome (12175244257121).

The spelling of 10142113133020 in words is "ten trillion, one hundred forty-two billion, one hundred thirteen million, one hundred thirty-three thousand, twenty".