313020222000 has 320 divisors, whose sum is σ = 1038218633088. Its totient is φ = 81077760000.

The previous prime is 313020221993. The next prime is 313020222007. The reversal of 313020222000 is 222020313.

It is an interprime number because it is at equal distance from previous prime (313020221993) and next prime (313020222007).

It is a super-4 number, since 4×313020222000⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (313020222007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226661310 + ... + 226662690.

Almost surely, 2^313020222000 is an apocalyptic number.

313020222000 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 313020222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519109316544).

313020222000 is an abundant number, since it is smaller than the sum of its proper divisors (725198411088).

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

313020222000 is a wasteful number, since it uses less digits than its factorization.

313020222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 313020222000 its reverse (222020313), we get a palindrome (313242242313).

The spelling of 313020222000 in words is "three hundred thirteen billion, twenty million, two hundred twenty-two thousand".