21300152024313 has 16 divisors (see below), whose sum is σ = 31558806966400. Its totient is φ = 14198739564240.

The previous prime is 21300152024267. The next prime is 21300152024341. The reversal of 21300152024313 is 31342025100312.

21300152024313 is a `hidden beast` number, since 2 + 1 + 300 + 1 + 5 + 20 + 24 + 313 = 666.

It is not a de Polignac number, because 21300152024313 - 2¹⁴ = 21300152007929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21300152024113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37540573 + ... + 38103738.

It is an arithmetic number, because the mean of its divisors is an integer number (1972425435400).

Almost surely, 2^{21300152024313} is an apocalyptic number.

It is an amenable number.

21300152024313 is a deficient number, since it is larger than the sum of its proper divisors (10258654942087).

21300152024313 is a wasteful number, since it uses less digits than its factorization.

21300152024313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75654749 (or 75654743 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 21300152024313 its reverse (31342025100312), we get a palindrome (52642177124625).

The spelling of 21300152024313 in words is "twenty-one trillion, three hundred billion, one hundred fifty-two million, twenty-four thousand, three hundred thirteen".