313134101140200 has 192 divisors, whose sum is σ = 1011831147917760. Its totient is φ = 80032983275520.

The previous prime is 313134101140169. The next prime is 313134101140219. The reversal of 313134101140200 is 2041101431313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 103774837 + ... + 106749636.

It is an arithmetic number, because the mean of its divisors is an integer number (5269953895405).

Almost surely, 2^{313134101140200} is an apocalyptic number.

313134101140200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313134101140200 is an abundant number, since it is smaller than the sum of its proper divisors (698697046777560).

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

313134101140200 is a wasteful number, since it uses less digits than its factorization.

313134101140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210524596 (or 210524587 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 313134101140200 its reverse (2041101431313), we get a palindrome (315175202571513).

The spelling of 313134101140200 in words is "three hundred thirteen trillion, one hundred thirty-four billion, one hundred one million, one hundred forty thousand, two hundred".