1113001311312 has 120 divisors (see below), whose sum is σ = 3401041962240. Its totient is φ = 336973847040.

The previous prime is 1113001311287. The next prime is 1113001311329. The reversal of 1113001311312 is 2131131003111.

1113001311312 is a `hidden beast` number, since 1 + 11 + 30 + 0 + 1 + 311 + 312 = 666.

It is a super-2 number, since 2×1113001311312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1477153 + ... + 2099519.

It is an arithmetic number, because the mean of its divisors is an integer number (28342016352).

Almost surely, 2^{1113001311312} is an apocalyptic number.

1113001311312 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 1113001311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700520981120).

1113001311312 is an abundant number, since it is smaller than the sum of its proper divisors (2288040650928).

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

1113001311312 is a wasteful number, since it uses less digits than its factorization.

1113001311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623521 (or 623512 counting only the distinct ones).

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

Adding to 1113001311312 its reverse (2131131003111), we get a palindrome (3244132314423).

The spelling of 1113001311312 in words is "one trillion, one hundred thirteen billion, one million, three hundred eleven thousand, three hundred twelve".