13501002020240 has 80 divisors (see below), whose sum is σ = 35907904247040. Its totient is φ = 4624551989760.

The previous prime is 13501002020179. The next prime is 13501002020249. The reversal of 13501002020240 is 4202020010531.

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

It is a super-2 number, since 2×13501002020240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13501002020249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10767260 + ... + 11955579.

It is an arithmetic number, because the mean of its divisors is an integer number (448848803088).

Almost surely, 2^{13501002020240} is an apocalyptic number.

13501002020240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13501002020240 is an abundant number, since it is smaller than the sum of its proper divisors (22406902226800).

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

13501002020240 is a wasteful number, since it uses less digits than its factorization.

13501002020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22723920 (or 22723914 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 13501002020240 its reverse (4202020010531), we get a palindrome (17703022030771).

The spelling of 13501002020240 in words is "thirteen trillion, five hundred one billion, two million, twenty thousand, two hundred forty".