10132144140001 has 24 divisors (see below), whose sum is σ = 11410863038120. Its totient is φ = 8942749111296.

The previous prime is 10132144139987. The next prime is 10132144140023. The reversal of 10132144140001 is 10004144123101.

10132144140001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 148187272401 + 9983956867600 = 384951^2 + 3159740^2 .

It is not a de Polignac number, because 10132144140001 - 2⁴¹ = 7933120884449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10132144140301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18134545 + ... + 18684913.

Almost surely, 2^{10132144140001} is an apocalyptic number.

It is an amenable number.

10132144140001 is a deficient number, since it is larger than the sum of its proper divisors (1278718898119).

10132144140001 is a wasteful number, since it uses less digits than its factorization.

10132144140001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553105 (or 553082 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 10132144140001 its reverse (10004144123101), we get a palindrome (20136288263102).

The spelling of 10132144140001 in words is "ten trillion, one hundred thirty-two billion, one hundred forty-four million, one hundred forty thousand, one".