10001233332113 has 4 divisors (see below), whose sum is σ = 10436069563968. Its totient is φ = 9566397100260.

The previous prime is 10001233332089. The next prime is 10001233332151. The reversal of 10001233332113 is 31123333210001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10001233332113 - 2⁸ = 10001233331857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23), and also a Moran number because the ratio is a prime number: 434836231831 = 10001233332113 / (1 + 0 + 0 + 0 + 1 + 2 + 3 + 3 + 3 + 3 + 2 + 1 + 1 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001233332313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 217418115893 + ... + 217418115938.

It is an arithmetic number, because the mean of its divisors is an integer number (2609017390992).

Almost surely, 2^{10001233332113} is an apocalyptic number.

It is an amenable number.

10001233332113 is a deficient number, since it is larger than the sum of its proper divisors (434836231855).

10001233332113 is an equidigital number, since it uses as much as digits as its factorization.

10001233332113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434836231854.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 10001233332113 its reverse (31123333210001), we get a palindrome (41124566542114).

The spelling of 10001233332113 in words is "ten trillion, one billion, two hundred thirty-three million, three hundred thirty-two thousand, one hundred thirteen".