10130400443241 has 27 divisors (see below), whose sum is σ = 15845179463607. Its totient is φ = 6234016192560.

The previous prime is 10130400443213. The next prime is 10130400443321. The reversal of 10130400443241 is 14234400403101.

The square root of 10130400443241 is 3182829.

It is a perfect power (a square), and thus also a powerful number.

10130400443241 is a `hidden beast` number, since 1 + 0 + 13 + 0 + 400 + 4 + 4 + 3 + 241 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1498579947225 + 8631820496016 = 1224165^2 + 2937996^2 .

It is not a de Polignac number, because 10130400443241 - 2³⁷ = 9992961489769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10130400453241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 124089526 + ... + 124171136.

Almost surely, 2^{10130400443241} is an apocalyptic number.

10130400443241 is the 3182829-th square number.

10130400443241 is the 1591415-th centered octagonal number.

It is an amenable number.

10130400443241 is a deficient number, since it is larger than the sum of its proper divisors (5714779020366).

10130400443241 is an frugal number, since it uses more digits than its factorization.

10130400443241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163254 (or 81627 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10130400443241 its reverse (14234400403101), we get a palindrome (24364800846342).

The spelling of 10130400443241 in words is "ten trillion, one hundred thirty billion, four hundred million, four hundred forty-three thousand, two hundred forty-one".