101122310311303 has 16 divisors (see below), whose sum is σ = 104540114700000. Its totient is φ = 97742642481792.

The previous prime is 101122310311289. The next prime is 101122310311349. The reversal of 101122310311303 is 303113013221101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101122310311303 is a prime.

It is a super-3 number, since 3×101122310311303³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122310311003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11082253 + ... + 18029446.

It is an arithmetic number, because the mean of its divisors is an integer number (6533757168750).

Almost surely, 2^{101122310311303} is an apocalyptic number.

101122310311303 is a deficient number, since it is larger than the sum of its proper divisors (3417804388697).

101122310311303 is a wasteful number, since it uses less digits than its factorization.

101122310311303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29112354.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 101122310311303 its reverse (303113013221101), we get a palindrome (404235323532404).

The spelling of 101122310311303 in words is "one hundred one trillion, one hundred twenty-two billion, three hundred ten million, three hundred eleven thousand, three hundred three".