13377213000 has 192 divisors, whose sum is σ = 46674501120. Its totient is φ = 3452112000.

The previous prime is 13377212993. The next prime is 13377213037. The reversal of 13377213000 is 31277331.

13377213000 is a `hidden beast` number, since 1 + 337 + 7 + 21 + 300 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255027 + ... + 302973.

It is an arithmetic number, because the mean of its divisors is an integer number (243096360).

Almost surely, 2^13377213000 is an apocalyptic number.

13377213000 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 13377213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23337250560).

13377213000 is an abundant number, since it is smaller than the sum of its proper divisors (33297288120).

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

13377213000 is a wasteful number, since it uses less digits than its factorization.

13377213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48005 (or 47988 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The spelling of 13377213000 in words is "thirteen billion, three hundred seventy-seven million, two hundred thirteen thousand".