313311114110000 has 200 divisors, whose sum is σ = 769798157849424. Its totient is φ = 123471129600000.

The previous prime is 313311114109979. The next prime is 313311114110021. The reversal of 313311114110000 is 11411113313.

It is an interprime number because it is at equal distance from previous prime (313311114109979) and next prime (313311114110021).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 661873400 + ... + 662346600.

Almost surely, 2^{313311114110000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313311114110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384899078924712).

313311114110000 is an abundant number, since it is smaller than the sum of its proper divisors (456487043739424).

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

313311114110000 is an equidigital number, since it uses as much as digits as its factorization.

313311114110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474209 (or 474188 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 313311114110000 its reverse (11411113313), we get a palindrome (313322525223313).

The spelling of 313311114110000 in words is "three hundred thirteen trillion, three hundred eleven billion, one hundred fourteen million, one hundred ten thousand".