101113315040 has 96 divisors (see below), whose sum is σ = 247262367744. Its totient is φ = 39033285120.

The previous prime is 101113315033. The next prime is 101113315057. The reversal of 101113315040 is 40513311101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1792547 + ... + 1848093.

It is an arithmetic number, because the mean of its divisors is an integer number (2575649664).

Almost surely, 2^101113315040 is an apocalyptic number.

101113315040 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 101113315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123631183872).

101113315040 is an abundant number, since it is smaller than the sum of its proper divisors (146149052704).

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

101113315040 is a wasteful number, since it uses less digits than its factorization.

101113315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55960 (or 55952 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 101113315040 its reverse (40513311101), we get a palindrome (141626626141).

The spelling of 101113315040 in words is "one hundred one billion, one hundred thirteen million, three hundred fifteen thousand, forty".