313124123040400 has 240 divisors, whose sum is σ = 910362629062656. Its totient is φ = 101037320847360.

The previous prime is 313124123040397. The next prime is 313124123040409. The reversal of 313124123040400 is 4040321421313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (313124123040409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1194010092 + ... + 1194272308.

Almost surely, 2^{313124123040400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313124123040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455181314531328).

313124123040400 is an abundant number, since it is smaller than the sum of its proper divisors (597238506022256).

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

313124123040400 is a wasteful number, since it uses less digits than its factorization.

313124123040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287346 (or 287335 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 313124123040400 its reverse (4040321421313), we get a palindrome (317164444461713).

The spelling of 313124123040400 in words is "three hundred thirteen trillion, one hundred twenty-four billion, one hundred twenty-three million, forty thousand, four hundred".