13397301000 has 288 divisors, whose sum is σ = 46820943000. Its totient is φ = 3455136000.

The previous prime is 13397300989. The next prime is 13397301007. The reversal of 13397301000 is 10379331.

It can be written as a sum of positive squares in 4 ways, for example, as 2970032004 + 10427268996 = 54498^2 + 102114^2 .

It is not an unprimeable number, because it can be changed into a prime (13397301007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8648226 + ... + 8649774.

Almost surely, 2^13397301000 is an apocalyptic number.

13397301000 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 13397301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23410471500).

13397301000 is an abundant number, since it is smaller than the sum of its proper divisors (33423642000).

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

13397301000 is a wasteful number, since it uses less digits than its factorization.

13397301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 27.

The spelling of 13397301000 in words is "thirteen billion, three hundred ninety-seven million, three hundred one thousand".