21000113013577 has 2 divisors, whose sum is σ = 21000113013578. Its totient is φ = 21000113013576.

The previous prime is 21000113013499. The next prime is 21000113013647. The reversal of 21000113013577 is 77531031100012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16887669710521 + 4112443303056 = 4109461^2 + 2027916^2 .

It is a cyclic number.

It is not a de Polignac number, because 21000113013577 - 2²⁷ = 20999978795849 is a prime.

It is not a weakly prime, because it can be changed into another prime (21003113013577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10500056506788 + 10500056506789.

It is an arithmetic number, because the mean of its divisors is an integer number (10500056506789).

Almost surely, 2^{21000113013577} is an apocalyptic number.

It is an amenable number.

21000113013577 is a deficient number, since it is larger than the sum of its proper divisors (1).

21000113013577 is an equidigital number, since it uses as much as digits as its factorization.

21000113013577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4410, while the sum is 31.

Adding to 21000113013577 its reverse (77531031100012), we get a palindrome (98531144113589).

The spelling of 21000113013577 in words is "twenty-one trillion, one hundred thirteen million, thirteen thousand, five hundred seventy-seven".