100131311032213 has 8 divisors (see below), whose sum is σ = 103584330531000. Its totient is φ = 96678305911488.

The previous prime is 100131311032183. The next prime is 100131311032223. The reversal of 100131311032213 is 312230113131001.

It can be written as a sum of positive squares in 4 ways, for example, as 50639832771889 + 49491478260324 = 7116167^2 + 7035018^2 .

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 100131311032213 - 2³³ = 100122721097621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131311032223) 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, 11673195 + ... + 18344647.

It is an arithmetic number, because the mean of its divisors is an integer number (12948041316375).

Almost surely, 2^{100131311032213} is an apocalyptic number.

It is an amenable number.

100131311032213 is a deficient number, since it is larger than the sum of its proper divisors (3453019498787).

100131311032213 is an equidigital number, since it uses as much as digits as its factorization.

100131311032213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7189031.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 100131311032213 its reverse (312230113131001), we get a palindrome (412361424163214).

The spelling of 100131311032213 in words is "one hundred trillion, one hundred thirty-one billion, three hundred eleven million, thirty-two thousand, two hundred thirteen".