10003322131001 has 8 divisors (see below), whose sum is σ = 10021468797000. Its totient is φ = 9985176137728.

The previous prime is 10003322130983. The next prime is 10003322131031. The reversal of 10003322131001 is 10013122330001.

It can be written as a sum of positive squares in 4 ways, for example, as 16236875776 + 9987085255225 = 127424^2 + 3160235^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10003322131001 - 2³⁴ = 9986142261817 is a prime.

It is a super-3 number, since 3×10003322131001³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10003322131031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37044665 + ... + 37313721.

It is an arithmetic number, because the mean of its divisors is an integer number (1252683599625).

Almost surely, 2^{10003322131001} is an apocalyptic number.

It is an amenable number.

10003322131001 is a deficient number, since it is larger than the sum of its proper divisors (18146665999).

10003322131001 is an equidigital number, since it uses as much as digits as its factorization.

10003322131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336363.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10003322131001 its reverse (10013122330001), we get a palindrome (20016444461002).

The spelling of 10003322131001 in words is "ten trillion, three billion, three hundred twenty-two million, one hundred thirty-one thousand, one".