101220113513 has 2 divisors, whose sum is σ = 101220113514. Its totient is φ = 101220113512.

The previous prime is 101220113507. The next prime is 101220113549. The reversal of 101220113513 is 315311022101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88326056809 + 12894056704 = 297197^2 + 113552^2 .

It is a cyclic number.

It is not a de Polignac number, because 101220113513 - 2²² = 101215919209 is a prime.

It is a super-2 number, since 2×101220113513² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101220110513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610056756 + 50610056757.

It is an arithmetic number, because the mean of its divisors is an integer number (50610056757).

Almost surely, 2^101220113513 is an apocalyptic number.

It is an amenable number.

101220113513 is a deficient number, since it is larger than the sum of its proper divisors (1).

101220113513 is an equidigital number, since it uses as much as digits as its factorization.

101220113513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 101220113513 its reverse (315311022101), we get a palindrome (416531135614).

The spelling of 101220113513 in words is "one hundred one billion, two hundred twenty million, one hundred thirteen thousand, five hundred thirteen".