20101013302313 has 8 divisors (see below), whose sum is σ = 20109605348640. Its totient is φ = 20092422611520.

The previous prime is 20101013302309. The next prime is 20101013302463. The reversal of 20101013302313 is 31320331010102.

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 20101013302313 - 2² = 20101013302309 is a prime.

It is a super-2 number, since 2×20101013302313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20101013302613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29899598 + ... + 30564488.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700668580).

Almost surely, 2^{20101013302313} is an apocalyptic number.

It is an amenable number.

20101013302313 is a deficient number, since it is larger than the sum of its proper divisors (8592046327).

20101013302313 is an equidigital number, since it uses as much as digits as its factorization.

20101013302313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677767.

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

Adding to 20101013302313 its reverse (31320331010102), we get a palindrome (51421344312415).

The spelling of 20101013302313 in words is "twenty trillion, one hundred one billion, thirteen million, three hundred two thousand, three hundred thirteen".