13301783040 has 480 divisors, whose sum is σ = 53291589120. Its totient is φ = 2805497856.

The previous prime is 13301783009. The next prime is 13301783041. The reversal of 13301783040 is 4038710331.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13301782989 and 13301783007.

It is not an unprimeable number, because it can be changed into a prime (13301783041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4890801 + ... + 4893519.

It is an arithmetic number, because the mean of its divisors is an integer number (111024144).

Almost surely, 2^13301783040 is an apocalyptic number.

13301783040 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 13301783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26645794560).

13301783040 is an abundant number, since it is smaller than the sum of its proper divisors (39989806080).

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

13301783040 is a wasteful number, since it uses less digits than its factorization.

13301783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 13301783040 in words is "thirteen billion, three hundred one million, seven hundred eighty-three thousand, forty".