101021231313 has 12 divisors (see below), whose sum is σ = 149863328628. Its totient is φ = 65527284960.

The previous prime is 101021231287. The next prime is 101021231383. The reversal of 101021231313 is 313132120101.

101021231313 is a `hidden beast` number, since 101 + 0 + 21 + 231 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34980969024 + 66040262289 = 187032^2 + 256983^2 .

It is not a de Polignac number, because 101021231313 - 2¹⁷ = 101021100241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101021231383) 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, 151683198 + ... + 151683863.

It is an arithmetic number, because the mean of its divisors is an integer number (12488610719).

Almost surely, 2^101021231313 is an apocalyptic number.

It is an amenable number.

101021231313 is a deficient number, since it is larger than the sum of its proper divisors (48842097315).

101021231313 is a wasteful number, since it uses less digits than its factorization.

101021231313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303367104 (or 303367101 counting only the distinct ones).

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

Adding to 101021231313 its reverse (313132120101), we get a palindrome (414153351414).

The spelling of 101021231313 in words is "one hundred one billion, twenty-one million, two hundred thirty-one thousand, three hundred thirteen".