21146531306113 has 2 divisors, whose sum is σ = 21146531306114. Its totient is φ = 21146531306112.

The previous prime is 21146531306083. The next prime is 21146531306123. The reversal of 21146531306113 is 31160313564112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20844128098369 + 302403207744 = 4565537^2 + 549912^2 .

It is a cyclic number.

It is not a de Polignac number, because 21146531306113 - 2²⁹ = 21145994435201 is a prime.

It is a super-2 number, since 2×21146531306113² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21146531306123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10573265653056 + 10573265653057.

It is an arithmetic number, because the mean of its divisors is an integer number (10573265653057).

Almost surely, 2^{21146531306113} is an apocalyptic number.

It is an amenable number.

21146531306113 is a deficient number, since it is larger than the sum of its proper divisors (1).

21146531306113 is an equidigital number, since it uses as much as digits as its factorization.

21146531306113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 21146531306113 in words is "twenty-one trillion, one hundred forty-six billion, five hundred thirty-one million, three hundred six thousand, one hundred thirteen".