13023580947300 has 1152 divisors, whose sum is σ = 55361936609280. Its totient is φ = 2542781030400.

The previous prime is 13023580947271. The next prime is 13023580947347. The reversal of 13023580947300 is 374908532031.

13023580947300 is a `hidden beast` number, since 1 + 3 + 0 + 23 + 580 + 9 + 47 + 3 + 0 + 0 = 666.

It is a super-2 number, since 2×13023580947300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2392718379 + ... + 2392723821.

It is an arithmetic number, because the mean of its divisors is an integer number (48057236640).

Almost surely, 2^{13023580947300} is an apocalyptic number.

13023580947300 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 13023580947300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27680968304640).

13023580947300 is an abundant number, since it is smaller than the sum of its proper divisors (42338355661980).

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

13023580947300 is a wasteful number, since it uses less digits than its factorization.

13023580947300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6178 (or 6165 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13023580947300 in words is "thirteen trillion, twenty-three billion, five hundred eighty million, nine hundred forty-seven thousand, three hundred".