13153226865120 has 768 divisors, whose sum is σ = 50055808723200. Its totient is φ = 3213502709760.

The previous prime is 13153226865101. The next prime is 13153226865127. The reversal of 13153226865120 is 2156862235131.

It is a happy number.

13153226865120 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 32 + 26 + 86 + 512 + 0 = 666.

It is a super-2 number, since 2×13153226865120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13153226865127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 434529346 + ... + 434559614.

It is an arithmetic number, because the mean of its divisors is an integer number (65176834275).

Almost surely, 2^{13153226865120} is an apocalyptic number.

13153226865120 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 13153226865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25027904361600).

13153226865120 is an abundant number, since it is smaller than the sum of its proper divisors (36902581858080).

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

13153226865120 is a wasteful number, since it uses less digits than its factorization.

13153226865120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30468 (or 30454 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13153226865120 in words is "thirteen trillion, one hundred fifty-three billion, two hundred twenty-six million, eight hundred sixty-five thousand, one hundred twenty".