13109392201248 has 288 divisors, whose sum is σ = 45763190928000. Its totient is φ = 3548406403584.

The previous prime is 13109392201187. The next prime is 13109392201417. The reversal of 13109392201248 is 84210229390131.

13109392201248 is a `hidden beast` number, since 1 + 3 + 10 + 9 + 392 + 2 + 0 + 1 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13109392201248² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1615411 + ... + 5369202.

It is an arithmetic number, because the mean of its divisors is an integer number (158899968500).

Almost surely, 2^{13109392201248} is an apocalyptic number.

13109392201248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13109392201248 is an abundant number, since it is smaller than the sum of its proper divisors (32653798726752).

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

13109392201248 is a wasteful number, since it uses less digits than its factorization.

13109392201248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6984669 (or 6984644 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 13109392201248 in words is "thirteen trillion, one hundred nine billion, three hundred ninety-two million, two hundred one thousand, two hundred forty-eight".