13213223440040 has 64 divisors (see below), whose sum is σ = 32797550918160. Its totient is φ = 4759735265280.

The previous prime is 13213223439971. The next prime is 13213223440051. The reversal of 13213223440040 is 4004432231231.

It can be written as a sum of positive squares in 8 ways, for example, as 190782009796 + 13022441430244 = 436786^2 + 3608662^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13213223439985 and 13213223440012.

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, 309857279 + ... + 309899918.

Almost surely, 2^{13213223440040} is an apocalyptic number.

13213223440040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13213223440040 is an abundant number, since it is smaller than the sum of its proper divisors (19584327478120).

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

13213223440040 is a wasteful number, since it uses less digits than its factorization.

13213223440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619757262 (or 619757258 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 13213223440040 its reverse (4004432231231), we get a palindrome (17217655671271).

The spelling of 13213223440040 in words is "thirteen trillion, two hundred thirteen billion, two hundred twenty-three million, four hundred forty thousand, forty".