21131002310013 has 6 divisors (see below), whose sum is σ = 30522558892254. Its totient is φ = 14087334873336.

The previous prime is 21131002309973. The next prime is 21131002310027. The reversal of 21131002310013 is 31001320013112.

It can be written as a sum of positive squares in only one way, i.e., 13211967319929 + 7919034990084 = 3634827^2 + 2814078^2 .

It is not a de Polignac number, because 21131002310013 - 2¹⁰ = 21131002308989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131002380013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1173944572770 + ... + 1173944572787.

It is an arithmetic number, because the mean of its divisors is an integer number (5087093148709).

Almost surely, 2^{21131002310013} is an apocalyptic number.

It is an amenable number.

21131002310013 is a deficient number, since it is larger than the sum of its proper divisors (9391556582241).

21131002310013 is a wasteful number, since it uses less digits than its factorization.

21131002310013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347889145563 (or 2347889145560 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21131002310013 its reverse (31001320013112), we get a palindrome (52132322323125).

The spelling of 21131002310013 in words is "twenty-one trillion, one hundred thirty-one billion, two million, three hundred ten thousand, thirteen".