101113311123 has 112 divisors (see below), whose sum is σ = 176490994560. Its totient is φ = 57253910400.

The previous prime is 101113311121. The next prime is 101113311151. The reversal of 101113311123 is 321113311101.

It is not a de Polignac number, because 101113311123 - 2¹ = 101113311121 is a prime.

It is a super-2 number, since 2×101113311123² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101113311096 and 101113311105.

It is not an unprimeable number, because it can be changed into a prime (101113311121) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 11117808 + ... + 11126898.

Almost surely, 2^101113311123 is an apocalyptic number.

101113311123 is a deficient number, since it is larger than the sum of its proper divisors (75377683437).

101113311123 is an equidigital number, since it uses as much as digits as its factorization.

101113311123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9212 (or 9197 counting only the distinct ones).

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

Adding to 101113311123 its reverse (321113311101), we get a palindrome (422226622224).

The spelling of 101113311123 in words is "one hundred one billion, one hundred thirteen million, three hundred eleven thousand, one hundred twenty-three".