100133221031113 has 8 divisors (see below), whose sum is σ = 100319505513480. Its totient is φ = 99947105364480.

The previous prime is 100133221031093. The next prime is 100133221031153. The reversal of 100133221031113 is 311130122331001.

It can be written as a sum of positive squares in 4 ways, for example, as 530585498569 + 99602635532544 = 728413^2 + 9980112^2 .

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 100133221031113 - 2³⁷ = 99995782077641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100133221031153) 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, 41016498 + ... + 43389163.

It is an arithmetic number, because the mean of its divisors is an integer number (12539938189185).

Almost surely, 2^{100133221031113} is an apocalyptic number.

It is an amenable number.

100133221031113 is a deficient number, since it is larger than the sum of its proper divisors (186284482367).

100133221031113 is an equidigital number, since it uses as much as digits as its factorization.

100133221031113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84407867.

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

Adding to 100133221031113 its reverse (311130122331001), we get a palindrome (411263343362114).

The spelling of 100133221031113 in words is "one hundred trillion, one hundred thirty-three billion, two hundred twenty-one million, thirty-one thousand, one hundred thirteen".