10213300331201 has 8 divisors (see below), whose sum is σ = 11177607849408. Its totient is φ = 9254963758000.

The previous prime is 10213300331183. The next prime is 10213300331257.

10213300331201 is nontrivially palindromic in base 10.

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 10213300331201 - 2¹⁸ = 10213300069057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10213300331261) 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, 1492732670 + ... + 1492739511.

It is an arithmetic number, because the mean of its divisors is an integer number (1397200981176).

Almost surely, 2^{10213300331201} is an apocalyptic number.

10213300331201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10213300331201 is a deficient number, since it is larger than the sum of its proper divisors (964307518207).

10213300331201 is a wasteful number, since it uses less digits than its factorization.

10213300331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985472503.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 10213300 and 331201, that added together give a palindrome (10544501).

The spelling of 10213300331201 in words is "ten trillion, two hundred thirteen billion, three hundred million, three hundred thirty-one thousand, two hundred one".