13076753283000 has 384 divisors, whose sum is σ = 49880241028800. Its totient is φ = 3060806784000.

The previous prime is 13076753282977. The next prime is 13076753283019. The reversal of 13076753283000 is 38235767031.

13076753283000 is a `hidden beast` number, since 1 + 30 + 7 + 6 + 7 + 532 + 83 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 593614 + ... + 5148386.

Almost surely, 2^{13076753283000} is an apocalyptic number.

13076753283000 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 13076753283000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24940120514400).

13076753283000 is an abundant number, since it is smaller than the sum of its proper divisors (36803487745800).

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

13076753283000 is a wasteful number, since it uses less digits than its factorization.

13076753283000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554840 (or 4554823 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 13076753283000 in words is "thirteen trillion, seventy-six billion, seven hundred fifty-three million, two hundred eighty-three thousand".