313101120000 has 200 divisors, whose sum is σ = 1042320738096. Its totient is φ = 83493376000.

The previous prime is 313101119993. The next prime is 313101120011. The reversal of 313101120000 is 21101313.

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

It is a super-2 number, since 2×313101120000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 796927 + ... + 1123073.

Almost surely, 2^313101120000 is an apocalyptic number.

313101120000 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 313101120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521160369048).

313101120000 is an abundant number, since it is smaller than the sum of its proper divisors (729219618096).

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

313101120000 is an frugal number, since it uses more digits than its factorization.

313101120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326188 (or 326157 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 313101120000 its reverse (21101313), we get a palindrome (313122221313).

The spelling of 313101120000 in words is "three hundred thirteen billion, one hundred one million, one hundred twenty thousand".