313131222000 has 240 divisors, whose sum is σ = 1123223829312. Its totient is φ = 81244684800.

The previous prime is 313131221941. The next prime is 313131222007. The reversal of 313131222000 is 222131313.

313131222000 is a `hidden beast` number, since 3 + 131 + 312 + 220 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313131222007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430917 + ... + 901083.

Almost surely, 2^313131222000 is an apocalyptic number.

313131222000 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 313131222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561611914656).

313131222000 is an abundant number, since it is smaller than the sum of its proper divisors (810092607312).

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

313131222000 is a wasteful number, since it uses less digits than its factorization.

313131222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470233 (or 470214 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313131222000 its reverse (222131313), we get a palindrome (313353353313).

The spelling of 313131222000 in words is "three hundred thirteen billion, one hundred thirty-one million, two hundred twenty-two thousand".