13109304522240 has 960 divisors, whose sum is σ = 48471611189760. Its totient is φ = 3358070784000.

The previous prime is 13109304522217. The next prime is 13109304522263. The reversal of 13109304522240 is 4222540390131.

13109304522240 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 93 + 0 + 4 + 522 + 2 + 40 = 666.

13109304522240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13109304522217) and next prime (13109304522263).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×13109304522240² (a number of 27 digits) contains 22 as substring.

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 = 13109304522195 and 13109304522204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10030071667 + ... + 10030072973.

It is an arithmetic number, because the mean of its divisors is an integer number (50491261656).

Almost surely, 2^{13109304522240} is an apocalyptic number.

13109304522240 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 13109304522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24235805594880).

13109304522240 is an abundant number, since it is smaller than the sum of its proper divisors (35362306667520).

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

13109304522240 is a wasteful number, since it uses less digits than its factorization.

13109304522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13109304522240 in words is "thirteen trillion, one hundred nine billion, three hundred four million, five hundred twenty-two thousand, two hundred forty".