13202414310040 has 64 divisors (see below), whose sum is σ = 31000487650560. Its totient is φ = 5050785717120.

The previous prime is 13202414310013. The next prime is 13202414310049. The reversal of 13202414310040 is 4001341420231.

It is a super-2 number, since 2×13202414310040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13202414309987 and 13202414310014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202414310049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7348435 + ... + 8966845.

It is an arithmetic number, because the mean of its divisors is an integer number (484382619540).

Almost surely, 2^{13202414310040} is an apocalyptic number.

13202414310040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13202414310040 is an abundant number, since it is smaller than the sum of its proper divisors (17798073340520).

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

13202414310040 is a wasteful number, since it uses less digits than its factorization.

13202414310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627312 (or 1627308 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 13202414310040 its reverse (4001341420231), we get a palindrome (17203755730271).

The spelling of 13202414310040 in words is "thirteen trillion, two hundred two billion, four hundred fourteen million, three hundred ten thousand, forty".