13120233300000 has 1728 divisors, whose sum is σ = 49994293160448. Its totient is φ = 3259008000000.

The previous prime is 13120233299933. The next prime is 13120233300017. The reversal of 13120233300000 is 333202131.

13120233300000 is a `hidden beast` number, since 1 + 312 + 0 + 23 + 330 + 0 + 0 + 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 287 ways as a sum of consecutive naturals, for example, 129903299950 + ... + 129903300050.

It is an arithmetic number, because the mean of its divisors is an integer number (28931882616).

Almost surely, 2^{13120233300000} is an apocalyptic number.

13120233300000 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 13120233300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24997146580224).

13120233300000 is an abundant number, since it is smaller than the sum of its proper divisors (36874059860448).

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

13120233300000 is a wasteful number, since it uses less digits than its factorization.

13120233300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13120233300000 its reverse (333202131), we get a palindrome (13120566502131).

The spelling of 13120233300000 in words is "thirteen trillion, one hundred twenty billion, two hundred thirty-three million, three hundred thousand".