1123100131032 has 192 divisors, whose sum is σ = 3339300556800. Its totient is φ = 338177329920.

The previous prime is 1123100131031. The next prime is 1123100131067. The reversal of 1123100131032 is 2301310013211.

1123100131032 is a `hidden beast` number, since 1 + 12 + 310 + 0 + 1 + 310 + 32 = 666.

It is a super-3 number, since 3×1123100131032³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 1123100130996 and 1123100131014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123100131031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283108713 + ... + 283112679.

It is an arithmetic number, because the mean of its divisors is an integer number (17392190400).

Almost surely, 2^{1123100131032} is an apocalyptic number.

1123100131032 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 1123100131032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669650278400).

1123100131032 is an abundant number, since it is smaller than the sum of its proper divisors (2216200425768).

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

1123100131032 is a wasteful number, since it uses less digits than its factorization.

1123100131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6166 (or 6159 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1123100131032 its reverse (2301310013211), we get a palindrome (3424410144243).

The spelling of 1123100131032 in words is "one trillion, one hundred twenty-three billion, one hundred million, one hundred thirty-one thousand, thirty-two".