1310233242400 has 144 divisors (see below), whose sum is σ = 3234390173280. Its totient is φ = 518239641600.

The previous prime is 1310233242397. The next prime is 1310233242401. The reversal of 1310233242400 is 42423320131.

It is a super-2 number, since 2×1310233242400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1310233242401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97691695 + ... + 97705105.

It is an arithmetic number, because the mean of its divisors is an integer number (22461042870).

Almost surely, 2^{1310233242400} is an apocalyptic number.

1310233242400 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 1310233242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617195086640).

1310233242400 is an abundant number, since it is smaller than the sum of its proper divisors (1924156930880).

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

1310233242400 is a wasteful number, since it uses less digits than its factorization.

1310233242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14787 (or 14774 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1310233242400 its reverse (42423320131), we get a palindrome (1352656562531).

The spelling of 1310233242400 in words is "one trillion, three hundred ten billion, two hundred thirty-three million, two hundred forty-two thousand, four hundred".