13010232400 has 240 divisors, whose sum is σ = 34832913408. Its totient is φ = 4630528000.

The previous prime is 13010232343. The next prime is 13010232437. The reversal of 13010232400 is 423201031.

It is a happy number.

It is a super-2 number, since 2×13010232400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68116305 + ... + 68116495.

Almost surely, 2^13010232400 is an apocalyptic number.

13010232400 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 13010232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17416456704).

13010232400 is an abundant number, since it is smaller than the sum of its proper divisors (21822681008).

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

13010232400 is a wasteful number, since it uses less digits than its factorization.

13010232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 459 counting only the distinct ones).

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

Adding to 13010232400 its reverse (423201031), we get a palindrome (13433433431).

The spelling of 13010232400 in words is "thirteen billion, ten million, two hundred thirty-two thousand, four hundred".