13202000 has 160 divisors (see below), whose sum is σ = 38997504. Its totient is φ = 4224000.

The previous prime is 13201999. The next prime is 13202009. The reversal of 13202000 is 20231.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321980 + ... + 322020.

Almost surely, 2^13202000 is an apocalyptic number.

13202000 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 13202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).

13202000 is an abundant number, since it is smaller than the sum of its proper divisors (25795504).

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

13202000 is a wasteful number, since it uses less digits than its factorization.

13202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 13202000 is about 3633.4556554333. The cubic root of 13202000 is about 236.3450855084.

Adding to 13202000 its reverse (20231), we get a palindrome (13222231).

The spelling of 13202000 in words is "thirteen million, two hundred two thousand".