101220013 has 2 divisors, whose sum is σ = 101220014. Its totient is φ = 101220012.

The previous prime is 101220001. The next prime is 101220037. The reversal of 101220013 is 310022101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52736644 + 48483369 = 7262^2 + 6963^2 .

It is an emirp because it is prime and its reverse (310022101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101220013 - 2²⁵ = 67665581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101220043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610006 + 50610007.

It is an arithmetic number, because the mean of its divisors is an integer number (50610007).

Almost surely, 2^101220013 is an apocalyptic number.

It is an amenable number.

101220013 is a deficient number, since it is larger than the sum of its proper divisors (1).

101220013 is an equidigital number, since it uses as much as digits as its factorization.

101220013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101220013 is about 10060.8157223955. The cubic root of 101220013 is about 466.0388582233.

Adding to 101220013 its reverse (310022101), we get a palindrome (411242114).

It can be divided in two parts, 1012 and 20013, that added together give a square (21025 = 145²).

The spelling of 101220013 in words is "one hundred one million, two hundred twenty thousand, thirteen".