5013413190000 has 400 divisors, whose sum is σ = 18204266395040. Its totient is φ = 1336904352000.

The previous prime is 5013413189989. The next prime is 5013413190001. The reversal of 5013413190000 is 913143105.

5013413190000 is a `hidden beast` number, since 5 + 0 + 1 + 341 + 319 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×5013413190000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5013413190001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21755382 + ... + 21984618.

Almost surely, 2^{5013413190000} is an apocalyptic number.

5013413190000 is a gapful number since it is divisible by the number (50) 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 5013413190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9102133197520).

5013413190000 is an abundant number, since it is smaller than the sum of its proper divisors (13190853205040).

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

5013413190000 is an frugal number, since it uses more digits than its factorization.

5013413190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229286 (or 229247 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 5013413190000 in words is "five trillion, thirteen billion, four hundred thirteen million, one hundred ninety thousand".