10132104431441 has 8 divisors (see below), whose sum is σ = 10493950492200. Its totient is φ = 9782721496464.

The previous prime is 10132104431429. The next prime is 10132104431479. The reversal of 10132104431441 is 14413440123101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 350197650625 + 9781906780816 = 591775^2 + 3127604^2 .

It is not a de Polignac number, because 10132104431441 - 2¹⁴ = 10132104415057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (10132104481441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207694346 + ... + 207743123.

It is an arithmetic number, because the mean of its divisors is an integer number (1311743811525).

Almost surely, 2^{10132104431441} is an apocalyptic number.

It is an amenable number.

10132104431441 is a deficient number, since it is larger than the sum of its proper divisors (361846060759).

10132104431441 is an frugal number, since it uses more digits than its factorization.

10132104431441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415437556 (or 415437498 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 10132104431441 its reverse (14413440123101), we get a palindrome (24545544554542).

The spelling of 10132104431441 in words is "ten trillion, one hundred thirty-two billion, one hundred four million, four hundred thirty-one thousand, four hundred forty-one".