101331121113 has 24 divisors (see below), whose sum is σ = 150803464968. Its totient is φ = 65518232832.

The previous prime is 101331121109. The next prime is 101331121141. The reversal of 101331121113 is 311121133101.

101331121113 is a `hidden beast` number, since 101 + 331 + 121 + 113 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38014470729 + 63316650384 = 194973^2 + 251628^2 .

It is not a de Polignac number, because 101331121113 - 2² = 101331121109 is a prime.

It is a super-2 number, since 2×101331121113² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101331121103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381870 + ... + 590327.

It is an arithmetic number, because the mean of its divisors is an integer number (6283477707).

Almost surely, 2^101331121113 is an apocalyptic number.

It is an amenable number.

101331121113 is a deficient number, since it is larger than the sum of its proper divisors (49472343855).

101331121113 is a wasteful number, since it uses less digits than its factorization.

101331121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972553 (or 972550 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101331121113 its reverse (311121133101), we get a palindrome (412452254214).

The spelling of 101331121113 in words is "one hundred one billion, three hundred thirty-one million, one hundred twenty-one thousand, one hundred thirteen".