13001495200000 has 216 divisors, whose sum is σ = 33848581427136. Its totient is φ = 4974478080000.

The previous prime is 13001495199997. The next prime is 13001495200051. The reversal of 13001495200000 is 259410031.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18046699 + ... + 18753301.

It is an arithmetic number, because the mean of its divisors is an integer number (156706395496).

Almost surely, 2^{13001495200000} is an apocalyptic number.

13001495200000 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 13001495200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16924290713568).

13001495200000 is an abundant number, since it is smaller than the sum of its proper divisors (20847086227136).

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

13001495200000 is an frugal number, since it uses more digits than its factorization.

13001495200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706667 (or 706633 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 13001495200000 in words is "thirteen trillion, one billion, four hundred ninety-five million, two hundred thousand".