313011212130000 has 300 divisors, whose sum is σ = 1124230444902708. Its totient is φ = 81213719040000.

The previous prime is 313011212129983. The next prime is 313011212130013. The reversal of 313011212130000 is 31212110313.

313011212130000 is a `hidden beast` number, since 3 + 130 + 112 + 121 + 300 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 246121125309504 + 66890086820496 = 15688248^2 + 8178636^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 43668681 + ... + 50328680.

Almost surely, 2^{313011212130000} is an apocalyptic number.

313011212130000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313011212130000 is an abundant number, since it is smaller than the sum of its proper divisors (811219232772708).

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

313011212130000 is a wasteful number, since it uses less digits than its factorization.

313011212130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93997432 (or 93997408 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 313011212130000 its reverse (31212110313), we get a palindrome (313042424240313).

The spelling of 313011212130000 in words is "three hundred thirteen trillion, eleven billion, two hundred twelve million, one hundred thirty thousand".