113111322120000 has 1680 divisors, whose sum is σ = 442184882293440. Its totient is φ = 27536744448000.

The previous prime is 113111322119933. The next prime is 113111322120059. The reversal of 113111322120000 is 21223111311.

113111322120000 is a `hidden beast` number, since 1 + 1 + 311 + 132 + 21 + 200 + 0 + 0 = 666.

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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27079557912 + ... + 27079562088.

Almost surely, 2^{113111322120000} is an apocalyptic number.

113111322120000 is a gapful number since it is divisible by the number (10) 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 113111322120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221092441146720).

113111322120000 is an abundant number, since it is smaller than the sum of its proper divisors (329073560173440).

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

113111322120000 is a wasteful number, since it uses less digits than its factorization.

113111322120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113111322120000 its reverse (21223111311), we get a palindrome (113132545231311).

The spelling of 113111322120000 in words is "one hundred thirteen trillion, one hundred eleven billion, three hundred twenty-two million, one hundred twenty thousand".