101033331113 has 16 divisors (see below), whose sum is σ = 118708598400. Its totient is φ = 84774574080.

The previous prime is 101033331109. The next prime is 101033331131. The reversal of 101033331113 is 311133330101.

It is a cyclic number.

It is not a de Polignac number, because 101033331113 - 2² = 101033331109 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101033331613) 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 in 15 ways as a sum of consecutive naturals, for example, 1645673 + ... + 1705961.

It is an arithmetic number, because the mean of its divisors is an integer number (7419287400).

Almost surely, 2^101033331113 is an apocalyptic number.

101033331113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101033331113 is a deficient number, since it is larger than the sum of its proper divisors (17675267287).

101033331113 is a wasteful number, since it uses less digits than its factorization.

101033331113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72032.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 101033331113 its reverse (311133330101), we get a palindrome (412166661214).

The spelling of 101033331113 in words is "one hundred one billion, thirty-three million, three hundred thirty-one thousand, one hundred thirteen".