101311113320 has 64 divisors (see below), whose sum is σ = 232849890000. Its totient is φ = 39657299968.

The previous prime is 101311113311. The next prime is 101311113443. The reversal of 101311113320 is 23311113101.

It can be written as a sum of positive squares in 8 ways, for example, as 38307101284 + 63004012036 = 195722^2 + 251006^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 763256 + ... + 886104.

Almost surely, 2^101311113320 is an apocalyptic number.

101311113320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101311113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116424945000).

101311113320 is an abundant number, since it is smaller than the sum of its proper divisors (131538776680).

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

101311113320 is a wasteful number, since it uses less digits than its factorization.

101311113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123302 (or 123298 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101311113320 its reverse (23311113101), we get a palindrome (124622226421).

The spelling of 101311113320 in words is "one hundred one billion, three hundred eleven million, one hundred thirteen thousand, three hundred twenty".