1313010020201 has 12 divisors (see below), whose sum is σ = 1443300266100. Its totient is φ = 1193583959040.

The previous prime is 1313010020183. The next prime is 1313010020219. The reversal of 1313010020201 is 1020200103131.

It is an interprime number because it is at equal distance from previous prime (1313010020183) and next prime (1313010020219).

It can be written as a sum of positive squares in 2 ways, for example, as 510973350976 + 802036669225 = 714824^2 + 895565^2 .

It is not a de Polignac number, because 1313010020201 - 2²² = 1313005825897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1313010020221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2166065 + ... + 2705153.

It is an arithmetic number, because the mean of its divisors is an integer number (120275022175).

Almost surely, 2^{1313010020201} is an apocalyptic number.

1313010020201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1313010020201 is a deficient number, since it is larger than the sum of its proper divisors (130290245899).

1313010020201 is a wasteful number, since it uses less digits than its factorization.

1313010020201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559240 (or 559229 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1313010020201 its reverse (1020200103131), we get a palindrome (2333210123332).

The spelling of 1313010020201 in words is "one trillion, three hundred thirteen billion, ten million, twenty thousand, two hundred one".