131101121116 has 72 divisors (see below), whose sum is σ = 269389057056. Its totient is φ = 55823826240.

The previous prime is 131101121093. The next prime is 131101121119. The reversal of 131101121116 is 611121101131.

It is a junction number, because it is equal to n+sod(n) for n = 131101121093 and 131101121102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101121119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10548586 + ... + 10561006.

Almost surely, 2^131101121116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131101121116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134694528528).

131101121116 is an abundant number, since it is smaller than the sum of its proper divisors (138287935940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131101121116 is an equidigital number, since it uses as much as digits as its factorization.

131101121116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12617 (or 12587 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 131101121116 its reverse (611121101131), we get a palindrome (742222222247).

The spelling of 131101121116 in words is "one hundred thirty-one billion, one hundred one million, one hundred twenty-one thousand, one hundred sixteen".