313134117000 has 256 divisors, whose sum is σ = 1041431040000. Its totient is φ = 78105081600.

The previous prime is 313134116983. The next prime is 313134117007. The reversal of 313134117000 is 711431313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (313134117007) 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 63 ways as a sum of consecutive naturals, for example, 4468231 + ... + 4537769.

It is an arithmetic number, because the mean of its divisors is an integer number (4068090000).

Almost surely, 2^313134117000 is an apocalyptic number.

313134117000 is a gapful number since it is divisible by the number (30) 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 313134117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520715520000).

313134117000 is an abundant number, since it is smaller than the sum of its proper divisors (728296923000).

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

313134117000 is a wasteful number, since it uses less digits than its factorization.

313134117000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69661 (or 69647 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

Adding to 313134117000 its reverse (711431313), we get a palindrome (313845548313).

The spelling of 313134117000 in words is "three hundred thirteen billion, one hundred thirty-four million, one hundred seventeen thousand".