111613133412 has 192 divisors, whose sum is σ = 336801991680. Its totient is φ = 31588876800.

The previous prime is 111613133389. The next prime is 111613133441. The reversal of 111613133412 is 214331316111.

111613133412 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 1 + 313 + 341 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2624583 + ... + 2666769.

It is an arithmetic number, because the mean of its divisors is an integer number (1754177040).

Almost surely, 2^111613133412 is an apocalyptic number.

111613133412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111613133412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168400995840).

111613133412 is an abundant number, since it is smaller than the sum of its proper divisors (225188858268).

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

111613133412 is a wasteful number, since it uses less digits than its factorization.

111613133412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42359 (or 42351 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 111613133412 its reverse (214331316111), we get a palindrome (325944449523).

It can be divided in two parts, 111613 and 133412, that added together give a square (245025 = 495²).

The spelling of 111613133412 in words is "one hundred eleven billion, six hundred thirteen million, one hundred thirty-three thousand, four hundred twelve".