13133750784 has 320 divisors, whose sum is σ = 43887191040. Its totient is φ = 3390750720.

The previous prime is 13133750783. The next prime is 13133750813. The reversal of 13133750784 is 48705733131.

It is a super-2 number, since 2×13133750784² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13133750783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34653507 + ... + 34653885.

It is an arithmetic number, because the mean of its divisors is an integer number (137147472).

Almost surely, 2^13133750784 is an apocalyptic number.

13133750784 is a gapful number since it is divisible by the number (14) 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 13133750784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21943595520).

13133750784 is an abundant number, since it is smaller than the sum of its proper divisors (30753440256).

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

13133750784 is a wasteful number, since it uses less digits than its factorization.

13133750784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 13133750784 in words is "thirteen billion, one hundred thirty-three million, seven hundred fifty thousand, seven hundred eighty-four".