13120320400 has 180 divisors, whose sum is σ = 34799901136. Its totient is φ = 4750099200.

The previous prime is 13120320397. The next prime is 13120320487. The reversal of 13120320400 is 402302131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 14858359 + ... + 14859241.

Almost surely, 2^13120320400 is an apocalyptic number.

13120320400 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 13120320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17399950568).

13120320400 is an abundant number, since it is smaller than the sum of its proper divisors (21679580736).

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

13120320400 is a wasteful number, since it uses less digits than its factorization.

13120320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13120320400 its reverse (402302131), we get a palindrome (13522622531).

The spelling of 13120320400 in words is "thirteen billion, one hundred twenty million, three hundred twenty thousand, four hundred".