101130311313 has 24 divisors (see below), whose sum is σ = 147730619400. Its totient is φ = 66658443264.

The previous prime is 101130311287. The next prime is 101130311329. The reversal of 101130311313 is 313113031101.

101130311313 is a `hidden beast` number, since 1 + 0 + 11 + 30 + 311 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15861639249 + 85268672064 = 125943^2 + 292008^2 .

It is not a de Polignac number, because 101130311313 - 2¹⁰ = 101130310289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101130311353) 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, 823453 + ... + 938261.

It is an arithmetic number, because the mean of its divisors is an integer number (6155442475).

Almost surely, 2^101130311313 is an apocalyptic number.

It is an amenable number.

101130311313 is a deficient number, since it is larger than the sum of its proper divisors (46600308087).

101130311313 is a wasteful number, since it uses less digits than its factorization.

101130311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115921 (or 115918 counting only the distinct ones).

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

Adding to 101130311313 its reverse (313113031101), we get a palindrome (414243342414).

The spelling of 101130311313 in words is "one hundred one billion, one hundred thirty million, three hundred eleven thousand, three hundred thirteen".