1310323040400 has 240 divisors, whose sum is σ = 4636948930560. Its totient is φ = 313632883200.

The previous prime is 1310323040387. The next prime is 1310323040413. The reversal of 1310323040400 is 40403230131.

It is an interprime number because it is at equal distance from previous prime (1310323040387) and next prime (1310323040413).

It is a tau number, because it is divible by the number of its divisors (240).

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, 414529 + ... + 1671071.

It is an arithmetic number, because the mean of its divisors is an integer number (19320620544).

Almost surely, 2^{1310323040400} is an apocalyptic number.

1310323040400 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 1310323040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318474465280).

1310323040400 is an abundant number, since it is smaller than the sum of its proper divisors (3326625890160).

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

1310323040400 is a wasteful number, since it uses less digits than its factorization.

1310323040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256654 (or 1256643 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1310323040400 its reverse (40403230131), we get a palindrome (1350726270531).

The spelling of 1310323040400 in words is "one trillion, three hundred ten billion, three hundred twenty-three million, forty thousand, four hundred".