313123720140 has 1728 divisors, whose sum is σ = 1331244794880. Its totient is φ = 60354201600.

The previous prime is 313123720099. The next prime is 313123720163. The reversal of 313123720140 is 41027321313.

It is a happy number.

It is a super-2 number, since 2×313123720140² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5133175710 + ... + 5133175770.

Almost surely, 2^313123720140 is an apocalyptic number.

313123720140 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 313123720140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665622397440).

313123720140 is an abundant number, since it is smaller than the sum of its proper divisors (1018121074740).

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

313123720140 is a wasteful number, since it uses less digits than its factorization.

313123720140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 313123720140 in words is "three hundred thirteen billion, one hundred twenty-three million, seven hundred twenty thousand, one hundred forty".