100201310313 has 32 divisors (see below), whose sum is σ = 149094691200. Its totient is φ = 59434238976.

The previous prime is 100201310311. The next prime is 100201310317. The reversal of 100201310313 is 313013102001.

It is not a de Polignac number, because 100201310313 - 2¹ = 100201310311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100201310292 and 100201310301.

It is not an unprimeable number, because it can be changed into a prime (100201310311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588433 + ... + 739361.

It is an arithmetic number, because the mean of its divisors is an integer number (4659209100).

Almost surely, 2^100201310313 is an apocalyptic number.

100201310313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100201310313 is a deficient number, since it is larger than the sum of its proper divisors (48893380887).

100201310313 is a wasteful number, since it uses less digits than its factorization.

100201310313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151561.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100201310313 its reverse (313013102001), we get a palindrome (413214412314).

The spelling of 100201310313 in words is "one hundred billion, two hundred one million, three hundred ten thousand, three hundred thirteen".