100131133321 has 8 divisors (see below), whose sum is σ = 101221461000. Its totient is φ = 99046383360.

The previous prime is 100131133303. The next prime is 100131133337. The reversal of 100131133321 is 123331131001.

It can be written as a sum of positive squares in 4 ways, for example, as 6534297225 + 93596836096 = 80835^2 + 305936^2 .

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 100131133321 - 2¹¹ = 100131131273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100131130321) 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, 1358326 + ... + 1430143.

It is an arithmetic number, because the mean of its divisors is an integer number (12652682625).

Almost surely, 2^100131133321 is an apocalyptic number.

It is an amenable number.

100131133321 is a deficient number, since it is larger than the sum of its proper divisors (1090327679).

100131133321 is a wasteful number, since it uses less digits than its factorization.

100131133321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788859.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 100131133321 its reverse (123331131001), we get a palindrome (223462264322).

The spelling of 100131133321 in words is "one hundred billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred twenty-one".