101311111320 has 128 divisors (see below), whose sum is σ = 315662054400. Its totient is φ = 25993235456.

The previous prime is 101311111309. The next prime is 101311111327. The reversal of 101311111320 is 23111113101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101311111320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311111327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180532 + ... + 484988.

It is an arithmetic number, because the mean of its divisors is an integer number (2466109800).

Almost surely, 2^101311111320 is an apocalyptic number.

101311111320 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 101311111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157831027200).

101311111320 is an abundant number, since it is smaller than the sum of its proper divisors (214350943080).

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

101311111320 is a wasteful number, since it uses less digits than its factorization.

101311111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304577 (or 304573 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101311111320 its reverse (23111113101), we get a palindrome (124422224421).

The spelling of 101311111320 in words is "one hundred one billion, three hundred eleven million, one hundred eleven thousand, three hundred twenty".