313153400000 has 168 divisors, whose sum is σ = 887681122272. Its totient is φ = 107366400000.

The previous prime is 313153399997. The next prime is 313153400003. The reversal of 313153400000 is 4351313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313153399997) and next prime (313153400003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (313153400003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1288160 + ... + 1511840.

It is an arithmetic number, because the mean of its divisors is an integer number (5283816204).

Almost surely, 2^313153400000 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 313153400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443840561136).

313153400000 is an abundant number, since it is smaller than the sum of its proper divisors (574527722272).

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

313153400000 is an frugal number, since it uses more digits than its factorization.

313153400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223725 (or 223695 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 313153400000 its reverse (4351313), we get a palindrome (313157751313).

The spelling of 313153400000 in words is "three hundred thirteen billion, one hundred fifty-three million, four hundred thousand".