313164406020 has 192 divisors, whose sum is σ = 922005504000. Its totient is φ = 79268851200.

The previous prime is 313164406019. The next prime is 313164406069. The reversal of 313164406020 is 20604461313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131525230 + ... + 131527610.

It is an arithmetic number, because the mean of its divisors is an integer number (4802112000).

Almost surely, 2^313164406020 is an apocalyptic number.

313164406020 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 313164406020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461002752000).

313164406020 is an abundant number, since it is smaller than the sum of its proper divisors (608841097980).

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

313164406020 is a wasteful number, since it uses less digits than its factorization.

313164406020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 313164406020 its reverse (20604461313), we get a palindrome (333768867333).

The spelling of 313164406020 in words is "three hundred thirteen billion, one hundred sixty-four million, four hundred six thousand, twenty".