21100112001013 has 2 divisors, whose sum is σ = 21100112001014. Its totient is φ = 21100112001012.

The previous prime is 21100112000959. The next prime is 21100112001043. The reversal of 21100112001013 is 31010021100112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21098285464369 + 1826536644 = 4593287^2 + 42738^2 .

It is a cyclic number.

It is not a de Polignac number, because 21100112001013 - 2¹³ = 21100111992821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21100112000984 and 21100112001002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21100112001043) 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, 10550056000506 + 10550056000507.

It is an arithmetic number, because the mean of its divisors is an integer number (10550056000507).

Almost surely, 2^{21100112001013} is an apocalyptic number.

It is an amenable number.

21100112001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21100112001013 is an equidigital number, since it uses as much as digits as its factorization.

21100112001013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 21100112001013 its reverse (31010021100112), we get a palindrome (52110133101125).

Subtracting 21100112001013 from its reverse (31010021100112), we obtain a palindrome (9909909099099).

The spelling of 21100112001013 in words is "twenty-one trillion, one hundred billion, one hundred twelve million, one thousand, thirteen".