13210400000 has 324 divisors, whose sum is σ = 38454280956. Its totient is φ = 4515840000.

The previous prime is 13210399973. The next prime is 13210400051. The reversal of 13210400000 is 401231.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11973611776 + 1236788224 = 109424^2 + 35168^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39199832 + ... + 39200168.

Almost surely, 2^13210400000 is an apocalyptic number.

13210400000 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 13210400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19227140478).

13210400000 is an abundant number, since it is smaller than the sum of its proper divisors (25243880956).

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

13210400000 is an frugal number, since it uses more digits than its factorization.

13210400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 13210400000 its reverse (401231), we get a palindrome (13210801231).

The spelling of 13210400000 in words is "thirteen billion, two hundred ten million, four hundred thousand".