12113003133000 has 768 divisors, whose sum is σ = 51076782282240. Its totient is φ = 2515396608000.

The previous prime is 12113003132981. The next prime is 12113003133043. The reversal of 12113003133000 is 33130031121.

It is a happy number.

12113003133000 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 300 + 31 + 330 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1325704432 + ... + 1325713568.

It is an arithmetic number, because the mean of its divisors is an integer number (66506226930).

Almost surely, 2^{12113003133000} is an apocalyptic number.

12113003133000 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 12113003133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25538391141120).

12113003133000 is an abundant number, since it is smaller than the sum of its proper divisors (38963779149240).

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

12113003133000 is a wasteful number, since it uses less digits than its factorization.

12113003133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11095 (or 11078 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12113003133000 its reverse (33130031121), we get a palindrome (12146133164121).

The spelling of 12113003133000 in words is "twelve trillion, one hundred thirteen billion, three million, one hundred thirty-three thousand".