313121122012020 has 384 divisors, whose sum is σ = 1056360752778240. Its totient is φ = 67781788139520.

The previous prime is 313121122011949. The next prime is 313121122012021. The reversal of 313121122012020 is 20210221121313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313121122012021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2667958140 + ... + 2668075500.

It is an arithmetic number, because the mean of its divisors is an integer number (2750939460360).

Almost surely, 2^{313121122012020} is an apocalyptic number.

313121122012020 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 313121122012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528180376389120).

313121122012020 is an abundant number, since it is smaller than the sum of its proper divisors (743239630766220).

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

313121122012020 is a wasteful number, since it uses less digits than its factorization.

313121122012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121595 (or 121593 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 313121122012020 its reverse (20210221121313), we get a palindrome (333331343133333).

The spelling of 313121122012020 in words is "three hundred thirteen trillion, one hundred twenty-one billion, one hundred twenty-two million, twelve thousand, twenty".