101313413201 has 32 divisors (see below), whose sum is σ = 137376158976. Its totient is φ = 72151200000.

The previous prime is 101313413191. The next prime is 101313413261. The reversal of 101313413201 is 102314313101.

It is a de Polignac number, because none of the positive numbers 2^k-101313413201 is a prime.

It is a super-2 number, since 2×101313413201² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (101313413261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399950 + ... + 602151.

It is an arithmetic number, because the mean of its divisors is an integer number (4293004968).

Almost surely, 2^101313413201 is an apocalyptic number.

101313413201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101313413201 is a deficient number, since it is larger than the sum of its proper divisors (36062745775).

101313413201 is a wasteful number, since it uses less digits than its factorization.

101313413201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002233.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101313413201 its reverse (102314313101), we get a palindrome (203627726302).

The spelling of 101313413201 in words is "one hundred one billion, three hundred thirteen million, four hundred thirteen thousand, two hundred one".