10133141123440 has 80 divisors (see below), whose sum is σ = 23580669088800. Its totient is φ = 4049625093120.

The previous prime is 10133141123431. The next prime is 10133141123543. The reversal of 10133141123440 is 4432114133101.

10133141123440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10133141123399 and 10133141123408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585755911 + ... + 585773209.

It is an arithmetic number, because the mean of its divisors is an integer number (294758363610).

Almost surely, 2^{10133141123440} is an apocalyptic number.

10133141123440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10133141123440 is an abundant number, since it is smaller than the sum of its proper divisors (13447527965360).

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

10133141123440 is a wasteful number, since it uses less digits than its factorization.

10133141123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23450 (or 23444 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 10133141123440 its reverse (4432114133101), we get a palindrome (14565255256541).

The spelling of 10133141123440 in words is "ten trillion, one hundred thirty-three billion, one hundred forty-one million, one hundred twenty-three thousand, four hundred forty".