311313313002120 has 384 divisors, whose sum is σ = 1114618547629440. Its totient is φ = 68946321899520.

The previous prime is 311313313002113. The next prime is 311313313002127. The reversal of 311313313002120 is 21200313313113.

It is an interprime number because it is at equal distance from previous prime (311313313002113) and next prime (311313313002127).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (311313313002127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14445342 + ... + 28832178.

It is an arithmetic number, because the mean of its divisors is an integer number (2902652467785).

Almost surely, 2^{311313313002120} is an apocalyptic number.

311313313002120 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 311313313002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557309273814720).

311313313002120 is an abundant number, since it is smaller than the sum of its proper divisors (803305234627320).

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

311313313002120 is a wasteful number, since it uses less digits than its factorization.

311313313002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14386985 (or 14386968 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 311313313002120 its reverse (21200313313113), we get a palindrome (332513626315233).

The spelling of 311313313002120 in words is "three hundred eleven trillion, three hundred thirteen billion, three hundred thirteen million, two thousand, one hundred twenty".