101013202112303 has 16 divisors (see below), whose sum is σ = 108880888337760. Its totient is φ = 93159452795904.

The previous prime is 101013202112287. The next prime is 101013202112309. The reversal of 101013202112303 is 303211202310101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101013202112303 - 2⁴ = 101013202112287 is a prime.

It is a super-2 number, since 2×101013202112303² (a number of 29 digits) contains 22 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 (101013202112309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144976583 + ... + 145671671.

It is an arithmetic number, because the mean of its divisors is an integer number (6805055521110).

Almost surely, 2^{101013202112303} is an apocalyptic number.

101013202112303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101013202112303 is a deficient number, since it is larger than the sum of its proper divisors (7867686225457).

101013202112303 is a wasteful number, since it uses less digits than its factorization.

101013202112303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705098.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101013202112303 its reverse (303211202310101), we get a palindrome (404224404422404).

The spelling of 101013202112303 in words is "one hundred one trillion, thirteen billion, two hundred two million, one hundred twelve thousand, three hundred three".