10003322131101 has 64 divisors (see below), whose sum is σ = 16803145900800. Its totient is φ = 5830700537088.

The previous prime is 10003322131087. The next prime is 10003322131141. The reversal of 10003322131101 is 10113122330001.

10003322131101 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 332 + 21 + 311 + 0 + 1 = 666.

It is not a de Polignac number, because 10003322131101 - 2⁵ = 10003322131069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003322131141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32906935 + ... + 33209531.

It is an arithmetic number, because the mean of its divisors is an integer number (262549154700).

Almost surely, 2^{10003322131101} is an apocalyptic number.

It is an amenable number.

10003322131101 is a deficient number, since it is larger than the sum of its proper divisors (6799823769699).

10003322131101 is a wasteful number, since it uses less digits than its factorization.

10003322131101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307595 (or 307589 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10003322131101 its reverse (10113122330001), we get a palindrome (20116444461102).

The spelling of 10003322131101 in words is "ten trillion, three billion, three hundred twenty-two million, one hundred thirty-one thousand, one hundred one".