101031113313 has 24 divisors (see below), whose sum is σ = 160124793192. Its totient is φ = 60999913728.

The previous prime is 101031113311. The next prime is 101031113341. The reversal of 101031113313 is 313311130101.

101031113313 is a `hidden beast` number, since 10 + 10 + 311 + 1 + 331 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4479223329 + 96551889984 = 66927^2 + 310728^2 .

It is not a de Polignac number, because 101031113313 - 2¹ = 101031113311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101031113311) 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 23 ways as a sum of consecutive naturals, for example, 8140156 + ... + 8152557.

It is an arithmetic number, because the mean of its divisors is an integer number (6671866383).

Almost surely, 2^101031113313 is an apocalyptic number.

101031113313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101031113313 is a deficient number, since it is larger than the sum of its proper divisors (59093679879).

101031113313 is a wasteful number, since it uses less digits than its factorization.

101031113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16292785 (or 16292782 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 101031113313 its reverse (313311130101), we get a palindrome (414342243414).

The spelling of 101031113313 in words is "one hundred one billion, thirty-one million, one hundred thirteen thousand, three hundred thirteen".