313205355335340 has 144 divisors (see below), whose sum is σ = 1023216254057088. Its totient is φ = 77090768036352.

The previous prime is 313205355335303. The next prime is 313205355335357. The reversal of 313205355335340 is 43533553502313.

313205355335340 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 0 + 5 + 3 + 553 + 3 + 53 + 40 = 666.

It is a super-2 number, since 2×313205355335340² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25291134 + ... + 35581626.

It is an arithmetic number, because the mean of its divisors is an integer number (7105668430952).

Almost surely, 2^{313205355335340} is an apocalyptic number.

313205355335340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313205355335340 is an abundant number, since it is smaller than the sum of its proper divisors (710010898721748).

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

313205355335340 is a wasteful number, since it uses less digits than its factorization.

313205355335340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10303528 (or 10303523 counting only the distinct ones).

The product of its (nonzero) digits is 3645000, while the sum is 45.

The spelling of 313205355335340 in words is "three hundred thirteen trillion, two hundred five billion, three hundred fifty-five million, three hundred thirty-five thousand, three hundred forty".