13201265039040 has 672 divisors, whose sum is σ = 49117712280000. Its totient is φ = 3235094691840.

The previous prime is 13201265039029. The next prime is 13201265039047. The reversal of 13201265039040 is 4093056210231.

13201265039040 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 26 + 503 + 90 + 40 = 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 = 13201265038986 and 13201265039004.

It is not an unprimeable number, because it can be changed into a prime (13201265039047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12349171626 + ... + 12349172694.

It is an arithmetic number, because the mean of its divisors is an integer number (73091833750).

Almost surely, 2^{13201265039040} is an apocalyptic number.

13201265039040 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 13201265039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24558856140000).

13201265039040 is an abundant number, since it is smaller than the sum of its proper divisors (35916447240960).

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

13201265039040 is a wasteful number, since it uses less digits than its factorization.

13201265039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13201265039040 in words is "thirteen trillion, two hundred one billion, two hundred sixty-five million, thirty-nine thousand, forty".