313013003102300 has 144 divisors (see below), whose sum is σ = 699718373949504. Its totient is φ = 121464541440000.

The previous prime is 313013003102299. The next prime is 313013003102323. The reversal of 313013003102300 is 3201300310313.

It is a super-2 number, since 2×313013003102300² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12833123105 + ... + 12833147495.

Almost surely, 2^{313013003102300} 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 313013003102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349859186974752).

313013003102300 is an abundant number, since it is smaller than the sum of its proper divisors (386705370847204).

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

313013003102300 is a wasteful number, since it uses less digits than its factorization.

313013003102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41920 (or 41913 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 313013003102300 its reverse (3201300310313), we get a palindrome (316214303412613).

The spelling of 313013003102300 in words is "three hundred thirteen trillion, thirteen billion, three million, one hundred two thousand, three hundred".