13113112023000 has 384 divisors, whose sum is σ = 48455327831040. Its totient is φ = 3172117920000.

The previous prime is 13113112022947. The next prime is 13113112023013. The reversal of 13113112023000 is 32021131131.

13113112023000 is a `hidden beast` number, since 1 + 31 + 1 + 311 + 20 + 2 + 300 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46091185 + ... + 46374815.

It is an arithmetic number, because the mean of its divisors is an integer number (126185749560).

Almost surely, 2^{13113112023000} is an apocalyptic number.

13113112023000 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 13113112023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24227663915520).

13113112023000 is an abundant number, since it is smaller than the sum of its proper divisors (35342215808040).

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

13113112023000 is a wasteful number, since it uses less digits than its factorization.

13113112023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284136 (or 284119 counting only the distinct ones).

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

Adding to 13113112023000 its reverse (32021131131), we get a palindrome (13145133154131).

The spelling of 13113112023000 in words is "thirteen trillion, one hundred thirteen billion, one hundred twelve million, twenty-three thousand".