13311583740 has 672 divisors, whose sum is σ = 52648673280. Its totient is φ = 2751211008.

The previous prime is 13311583709. The next prime is 13311583777. The reversal of 13311583740 is 4738511331.

13311583740 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 583 + 74 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13311583695 and 13311583704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 104815557 + ... + 104815683.

It is an arithmetic number, because the mean of its divisors is an integer number (78346240).

Almost surely, 2^13311583740 is an apocalyptic number.

13311583740 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 13311583740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26324336640).

13311583740 is an abundant number, since it is smaller than the sum of its proper divisors (39337089540).

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

13311583740 is a wasteful number, since it uses less digits than its factorization.

13311583740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13311583740 in words is "thirteen billion, three hundred eleven million, five hundred eighty-three thousand, seven hundred forty".