10131322034401 has 8 divisors (see below), whose sum is σ = 10322907243624. Its totient is φ = 9939752684160.

The previous prime is 10131322034387. The next prime is 10131322034417. The reversal of 10131322034401 is 10443022313101.

It can be written as a sum of positive squares in 4 ways, for example, as 6203985008400 + 3927337026001 = 2490780^2 + 1981751^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10131322034401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10131322034501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2671036 + ... + 5234221.

It is an arithmetic number, because the mean of its divisors is an integer number (1290363405453).

Almost surely, 2^{10131322034401} is an apocalyptic number.

It is an amenable number.

10131322034401 is a deficient number, since it is larger than the sum of its proper divisors (191585209223).

10131322034401 is an equidigital number, since it uses as much as digits as its factorization.

10131322034401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7929491.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10131322034401 its reverse (10443022313101), we get a palindrome (20574344347502).

The spelling of 10131322034401 in words is "ten trillion, one hundred thirty-one billion, three hundred twenty-two million, thirty-four thousand, four hundred one".