1012313013201 has 30 divisors (see below), whose sum is σ = 1759113852210. Its totient is φ = 578464576704.

The previous prime is 1012313013193. The next prime is 1012313013209. The reversal of 1012313013201 is 1023103132101.

1012313013201 is a `hidden beast` number, since 1 + 0 + 12 + 31 + 301 + 320 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1012313013193) and next prime (1012313013209).

It can be written as a sum of positive squares in only one way, i.e., 990821160000 + 21491853201 = 995400^2 + 146601^2 .

It is not a de Polignac number, because 1012313013201 - 2³ = 1012313013193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012313013209) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 127523496 + ... + 127531433.

It is an arithmetic number, because the mean of its divisors is an integer number (58637128407).

Almost surely, 2^{1012313013201} is an apocalyptic number.

It is an amenable number.

1012313013201 is a deficient number, since it is larger than the sum of its proper divisors (746800839009).

1012313013201 is an equidigital number, since it uses as much as digits as its factorization.

1012313013201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255054955 (or 255054939 counting only the distinct ones).

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

Adding to 1012313013201 its reverse (1023103132101), we get a palindrome (2035416145302).

The spelling of 1012313013201 in words is "one trillion, twelve billion, three hundred thirteen million, thirteen thousand, two hundred one".