313511384340 has 576 divisors, whose sum is σ = 1198622251008. Its totient is φ = 64437120000.

The previous prime is 313511384327. The next prime is 313511384341. The reversal of 313511384340 is 43483115313.

313511384340 is a `hidden beast` number, since 31 + 3 + 511 + 3 + 84 + 34 + 0 = 666.

It is a super-2 number, since 2×313511384340² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 313511384295 and 313511384304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313511384341) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 789701022 + ... + 789701418.

It is an arithmetic number, because the mean of its divisors is an integer number (2080941408).

Almost surely, 2^313511384340 is an apocalyptic number.

313511384340 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 313511384340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599311125504).

313511384340 is an abundant number, since it is smaller than the sum of its proper divisors (885110866668).

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

313511384340 is a wasteful number, since it uses less digits than its factorization.

313511384340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 313511384340 its reverse (43483115313), we get a palindrome (356994499653).

It can be divided in two parts, 3135113 and 84340, that added together give a triangular number (3219453 = T₂₅₃₇).

The spelling of 313511384340 in words is "three hundred thirteen billion, five hundred eleven million, three hundred eighty-four thousand, three hundred forty".