101113280856 has 576 divisors, whose sum is σ = 352492560000. Its totient is φ = 26702597376.

The previous prime is 101113280809. The next prime is 101113280857. The reversal of 101113280856 is 658082311101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101113280856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113280857) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 564878575 + ... + 564878753.

It is an arithmetic number, because the mean of its divisors is an integer number (611966250).

Almost surely, 2^101113280856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101113280856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176246280000).

101113280856 is an abundant number, since it is smaller than the sum of its proper divisors (251379279144).

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

101113280856 is a wasteful number, since it uses less digits than its factorization.

101113280856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Adding to 101113280856 its reverse (658082311101), we get a palindrome (759195591957).

The spelling of 101113280856 in words is "one hundred one billion, one hundred thirteen million, two hundred eighty thousand, eight hundred fifty-six".