101313203121 has 36 divisors (see below), whose sum is σ = 160033436316. Its totient is φ = 61729200000.

The previous prime is 101313203113. The next prime is 101313203137. The reversal of 101313203121 is 121302313101.

101313203121 is a `hidden beast` number, since 1 + 0 + 1 + 31 + 320 + 312 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5451754896 + 95861448225 = 73836^2 + 309615^2 .

It is not a de Polignac number, because 101313203121 - 2³ = 101313203113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101313203094 and 101313203103.

It is not an unprimeable number, because it can be changed into a prime (101313203021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 176130 + ... + 483371.

It is an arithmetic number, because the mean of its divisors is an integer number (4445373231).

Almost surely, 2^101313203121 is an apocalyptic number.

It is an amenable number.

101313203121 is a deficient number, since it is larger than the sum of its proper divisors (58720233195).

101313203121 is a wasteful number, since it uses less digits than its factorization.

101313203121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659634 (or 659618 counting only the distinct ones).

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

Adding to 101313203121 its reverse (121302313101), we get a palindrome (222615516222).

The spelling of 101313203121 in words is "one hundred one billion, three hundred thirteen million, two hundred three thousand, one hundred twenty-one".