101203301313 has 96 divisors (see below), whose sum is σ = 159545917440. Its totient is φ = 64028128320.

The previous prime is 101203301299. The next prime is 101203301359. The reversal of 101203301313 is 313103302101.

It is a happy number.

101203301313 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 330 + 1 + 313 = 666.

It is not a de Polignac number, because 101203301313 - 2¹⁷ = 101203170241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101203301383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102953020 + ... + 102954002.

It is an arithmetic number, because the mean of its divisors is an integer number (1661936640).

Almost surely, 2^101203301313 is an apocalyptic number.

It is an amenable number.

101203301313 is a deficient number, since it is larger than the sum of its proper divisors (58342616127).

101203301313 is an equidigital number, since it uses as much as digits as its factorization.

101203301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101203301313 its reverse (313103302101), we get a palindrome (414306603414).

The spelling of 101203301313 in words is "one hundred one billion, two hundred three million, three hundred one thousand, three hundred thirteen".