13011384240 has 80 divisors (see below), whose sum is σ = 44816997600. Its totient is φ = 3469701888.

The previous prime is 13011384229. The next prime is 13011384251. The reversal of 13011384240 is 4248311031.

13011384240 is a `hidden beast` number, since 1 + 30 + 11 + 384 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (13011384229) and next prime (13011384251).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13011384240² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3009735 + ... + 3014054.

It is an arithmetic number, because the mean of its divisors is an integer number (560212470).

Almost surely, 2^13011384240 is an apocalyptic number.

13011384240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13011384240 is an abundant number, since it is smaller than the sum of its proper divisors (31805613360).

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

13011384240 is a wasteful number, since it uses less digits than its factorization.

13011384240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6023811 (or 6023799 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13011384240 its reverse (4248311031), we get a palindrome (17259695271).

The spelling of 13011384240 in words is "thirteen billion, eleven million, three hundred eighty-four thousand, two hundred forty".