13217148353280 has 144 divisors (see below), whose sum is σ = 43667863354080. Its totient is φ = 3403035869184.

The previous prime is 13217148353243. The next prime is 13217148353287. The reversal of 13217148353280 is 8235384171231.

It is a super-2 number, since 2×13217148353280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13217148353287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59232877 + ... + 59455596.

It is an arithmetic number, because the mean of its divisors is an integer number (303249051070).

Almost surely, 2^{13217148353280} is an apocalyptic number.

13217148353280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13217148353280 is an abundant number, since it is smaller than the sum of its proper divisors (30450715000800).

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

13217148353280 is a wasteful number, since it uses less digits than its factorization.

13217148353280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118688526 (or 118688512 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 13217148353280 in words is "thirteen trillion, two hundred seventeen billion, one hundred forty-eight million, three hundred fifty-three thousand, two hundred eighty".