20131012102021 has 2 divisors, whose sum is σ = 20131012102022. Its totient is φ = 20131012102020.

The previous prime is 20131012102009. The next prime is 20131012102073. The reversal of 20131012102021 is 12020121013102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13117333829796 + 7013678272225 = 3621786^2 + 2648335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20131012102021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20131012101986 and 20131012102004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20131012102081) 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 as a sum of consecutive naturals, namely, 10065506051010 + 10065506051011.

It is an arithmetic number, because the mean of its divisors is an integer number (10065506051011).

Almost surely, 2^{20131012102021} is an apocalyptic number.

It is an amenable number.

20131012102021 is a deficient number, since it is larger than the sum of its proper divisors (1).

20131012102021 is an equidigital number, since it uses as much as digits as its factorization.

20131012102021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 20131012102021 its reverse (12020121013102), we get a palindrome (32151133115123).

The spelling of 20131012102021 in words is "twenty trillion, one hundred thirty-one billion, twelve million, one hundred two thousand, twenty-one".