101113121331 has 24 divisors (see below), whose sum is σ = 153658194144. Its totient is φ = 63987200640.

The previous prime is 101113121309. The next prime is 101113121357. The reversal of 101113121331 is 133121311101.

101113121331 is a `hidden beast` number, since 10 + 1 + 11 + 312 + 1 + 331 = 666.

It is not a de Polignac number, because 101113121331 - 2¹⁰ = 101113120307 is a prime.

It is a super-2 number, since 2×101113121331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101113125331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3689311 + ... + 3716616.

It is an arithmetic number, because the mean of its divisors is an integer number (6402424756).

Almost surely, 2^101113121331 is an apocalyptic number.

101113121331 is a deficient number, since it is larger than the sum of its proper divisors (52545072813).

101113121331 is a wasteful number, since it uses less digits than its factorization.

101113121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7406011 (or 7406008 counting only the distinct ones).

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

Adding to 101113121331 its reverse (133121311101), we get a palindrome (234234432432).

The spelling of 101113121331 in words is "one hundred one billion, one hundred thirteen million, one hundred twenty-one thousand, three hundred thirty-one".