313121200350 has 192 divisors, whose sum is σ = 894459750912. Its totient is φ = 71008704000.

The previous prime is 313121200349. The next prime is 313121200361. The reversal of 313121200350 is 53002121313.

It is a super-2 number, since 2×313121200350² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 179850480 + ... + 179852220.

It is an arithmetic number, because the mean of its divisors is an integer number (4658644536).

Almost surely, 2^313121200350 is an apocalyptic number.

313121200350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313121200350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447229875456).

313121200350 is an abundant number, since it is smaller than the sum of its proper divisors (581338550562).

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

313121200350 is a wasteful number, since it uses less digits than its factorization.

313121200350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 313121200350 its reverse (53002121313), we get a palindrome (366123321663).

The spelling of 313121200350 in words is "three hundred thirteen billion, one hundred twenty-one million, two hundred thousand, three hundred fifty".