313100040 has 128 divisors (see below), whose sum is σ = 1030838400. Its totient is φ = 75448320.

The previous prime is 313100009. The next prime is 313100059. The reversal of 313100040 is 40001313.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 313099989 and 313100025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254146 + ... + 255374.

It is an arithmetic number, because the mean of its divisors is an integer number (8053425).

Almost surely, 2^313100040 is an apocalyptic number.

313100040 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 313100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515419200).

313100040 is an abundant number, since it is smaller than the sum of its proper divisors (717738360).

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

313100040 is a wasteful number, since it uses less digits than its factorization.

313100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 313100040 is about 17694.6330846390. The cubic root of 313100040 is about 679.0384622239.

Adding to 313100040 its reverse (40001313), we get a palindrome (353101353).

The spelling of 313100040 in words is "three hundred thirteen million, one hundred thousand, forty".