101313330113310 has 64 divisors (see below), whose sum is σ = 277888929306624. Its totient is φ = 23157254419200.

The previous prime is 101313330113279. The next prime is 101313330113329. The reversal of 101313330113310 is 13311033313101.

It is a super-3 number, since 3×101313330113310³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81118770 + ... + 82358250.

It is an arithmetic number, because the mean of its divisors is an integer number (4342014520416).

Almost surely, 2^{101313330113310} is an apocalyptic number.

101313330113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101313330113310 is an abundant number, since it is smaller than the sum of its proper divisors (176575599193314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101313330113310 is a wasteful number, since it uses less digits than its factorization.

101313330113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628729.

The product of its (nonzero) digits is 729, while the sum is 24.

Adding to 101313330113310 its reverse (13311033313101), we get a palindrome (114624363426411).

The spelling of 101313330113310 in words is "one hundred one trillion, three hundred thirteen billion, three hundred thirty million, one hundred thirteen thousand, three hundred ten".