13105263360 has 288 divisors, whose sum is σ = 48742041600. Its totient is φ = 2938650624.

The previous prime is 13105263349. The next prime is 13105263371. The reversal of 13105263360 is 6336250131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13105263349) and next prime (13105263371).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1420041 + ... + 1429239.

It is an arithmetic number, because the mean of its divisors is an integer number (169243200).

Almost surely, 2^13105263360 is an apocalyptic number.

13105263360 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 13105263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24371020800).

13105263360 is an abundant number, since it is smaller than the sum of its proper divisors (35636778240).

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

13105263360 is an equidigital number, since it uses as much as digits as its factorization.

13105263360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9283 (or 9269 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The spelling of 13105263360 in words is "thirteen billion, one hundred five million, two hundred sixty-three thousand, three hundred sixty".